[ubuntu] Stuck in busybox at intrafms

Few days before, I tried to upgrade ubunu12.04 to ubuntu 14.04. But because of low space it stopped in the middle. Then after 2 days, my speakers stopped working in ubunu12.04. So, I thought some files might have changed during upgrade and not cleared again. So, I made enough space and then upgraded ubuntu from 12.04 to 14.04. But during installation, it asked for restart after completeing all processes, but couldn't restart. Instead it put me to a busybox. And it got stuck there. The error says:

BusyBox 1.21.1 (Ubuntu 1:1.21.0 - 1ubuntu1) built in shell (ash)
Enter 'help' for a lit of built-in commands.
(initramfs)

I looked up this error on net. And I tried to apply my debugging skils, which are trust me very weird. So, after going through chain of links I came across a thread, from where I downloaded a bootinfoscript and ran it on my pc. Its output can be seen below in bold below. But before that I would like to tell that I have a windows 7 on my pc and its not working because of some hardware memory malfunctioning. I will get it repaired next month when i got enough cash. Now, the output of the script:

Boot Info Script 0.61 [1 April 2012]

============================= Boot Info Summary: ===============================

=> Windows is installed in the MBR of /dev/sda.
=> Syslinux MBR (4.04 and higher) is installed in the MBR of /dev/sdb.

sda1: __________________________________________________ ________________________

File system: ntfs
Boot sector type: Windows Vista/7: NTFS
Boot sector info: No errors found in the Boot Parameter Block.
Operating System:
Boot files: /bootmgr /Boot/BCD

sda2: __________________________________________________ ________________________

File system: ntfs
Boot sector type: Windows Vista/7: NTFS
Boot sector info: No errors found in the Boot Parameter Block.
Operating System: Windows 7
Boot files: /Windows/System32/winload.exe /wubildr /wubildr.mbr

sda3: __________________________________________________ ________________________

File system: ntfs
Boot sector type: Windows Vista/7: NTFS
Boot sector info: No errors found in the Boot Parameter Block.
Operating System:
Boot files: /ubuntu/winboot/wubildr /ubuntu/winboot/wubildr.mbr
/ubuntu/disks/root.disk /ubuntu/disks/swap.disk

sda3/Wubi: __________________________________________________ ___________________

File system: ext4
Boot sector type: -
Boot sector info:
Mounting failed: mount: wrong fs type, bad option, bad superblock on /dev/loop2,
missing codepage or helper program, or other error
In some cases useful info is found in syslog - try
dmesg | tail or so

sda4: __________________________________________________ ________________________

File system: ntfs
Boot sector type: Windows Vista/7: NTFS
Boot sector info: No errors found in the Boot Parameter Block.
Operating System:
Boot files:

sdb1: __________________________________________________ ________________________

File system: vfat
Boot sector type: SYSLINUX 4.05 20140113
Boot sector info: Syslinux looks at sector 2003668 of /dev/sdb1 for its
second stage. SYSLINUX is installed in the directory.
The integrity check of the ADV area failed. No errors
found in the Boot Parameter Block.
Operating System:
Boot files: /boot/grub/grub.cfg /syslinux/syslinux.cfg
/efi/BOOT/grubx64.efi /ldlinux.sys

============================ Drive/Partition Info: =============================

Drive: sda __________________________________________________ ___________________

Disk /dev/sda: 500.1 GB, 500107862016 bytes
255 heads, 63 sectors/track, 60801 cylinders, total 976773168 sectors
Units = sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes

Partition Boot Start Sector End Sector # of Sectors Id System

/dev/sda1 * 2,048 206,847 204,800 7 NTFS / exFAT / HPFS
/dev/sda2 206,848 327,682,047 327,475,200 7 NTFS / exFAT / HPFS
/dev/sda3 327,682,048 655,362,047 327,680,000 7 NTFS / exFAT / HPFS
/dev/sda4 655,362,048 976,771,071 321,409,024 7 NTFS / exFAT / HPFS

Drive: sdb __________________________________________________ ___________________

Disk /dev/sdb: 8004 MB, 8004304896 bytes
35 heads, 21 sectors/track, 21269 cylinders, total 15633408 sectors
Units = sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 512 bytes

Partition Boot Start Sector End Sector # of Sectors Id System

/dev/sdb1 * 63 15,633,407 15,633,345 83 Linux

"blkid" output: __________________________________________________ ______________

Device UUID TYPE LABEL

/dev/loop0 squashfs
/dev/loop1 e6d63b84-34cc-4377-8789-8b4cc1ae755c ext3
/dev/sda1 3CD8A0E3D8A09D20 ntfs System Reserved
/dev/sda2 EAD4914FD4911F3F ntfs
/dev/sda3 BEE690ADE6906803 ntfs
/dev/sda4 64D49A94D49A6856 ntfs
/dev/sdb1 B77B-FD2E vfat

================================ Mount points: =================================

Device Mount_Point Type Options

/dev/loop0 /rofs squashfs (ro,noatime)
/dev/sdb1 /cdrom vfat (rw,relatime,fmask=0022,dmask=0022,codepage=437,io charset=iso8859-1,shortname=mixed,errors=remount-ro)

=========================== sdb1/boot/grub/grub.cfg: ===========================

--------------------------------------------------------------------------------
#
# DO NOT EDIT THIS FILE
#
# It is automatically generated by grub-mkconfig using templates
# from /etc/grub.d and settings from /etc/default/grub
#

### BEGIN /etc/grub.d/00_header ###
if [ -s $prefix/grubenv ]; then
set have_grubenv=true
load_env
fi
if [ "${next_entry}" ] ; then
set default="${next_entry}"
set next_entry=
save_env next_entry
set boot_once=true
else
set default="0"
fi

if [ x"${feature_menuentry_id}" = xy ]; then
menuentry_id_option="--id"
else
menuentry_id_option=""
fi

export menuentry_id_option

if [ "${prev_saved_entry}" ]; then
set saved_entry="${prev_saved_entry}"
save_env saved_entry
set prev_saved_entry=
save_env prev_saved_entry
set boot_once=true
fi

function savedefault {
if [ -z "${boot_once}" ]; then
saved_entry="${chosen}"
save_env saved_entry
fi
}
function recordfail {
set recordfail=1
if [ -n "${have_grubenv}" ]; then if [ -z "${boot_once}" ]; then save_env recordfail; fi; fi
}
function load_video {
if [ x$feature_all_video_module = xy ]; then
insmod all_video
else
insmod efi_gop
insmod efi_uga
insmod ieee1275_fb
insmod vbe
insmod vga
insmod video_bochs
insmod video_cirrus
fi
}

if loadfont unicode ; then
set gfxmode=auto
load_video
insmod gfxterm
set locale_dir=$prefix/locale
set lang=en_US
insmod gettext
fi
terminal_output gfxterm
if [ "${recordfail}" = 1 ] ; then
set timeout=-1
else
if [ x$feature_timeout_style = xy ] ; then
set timeout_style=hidden
set timeout=0
# Fallback hidden-timeout code in case the timeout_style feature is
# unavailable.
elif sleep --interruptible 0 ; then
set timeout=0
fi
fi
### END /etc/grub.d/00_header ###

### BEGIN /etc/grub.d/05_debian_theme ###
set menu_color_normal=white/black
set menu_color_highlight=black/light-gray
if background_color 44,0,30; then
clear
fi
### END /etc/grub.d/05_debian_theme ###

### BEGIN /etc/grub.d/10_linux ###
function gfxmode {
set gfxpayload="${1}"
if [ "${1}" = "keep" ]; then
set vt_handoff=vt.handoff=7
else
set vt_handoff=
fi
}
if [ "${recordfail}" != 1 ]; then
if [ -e ${prefix}/gfxblacklist.txt ]; then
if hwmatch ${prefix}/gfxblacklist.txt 3; then
if [ ${match} = 0 ]; then
set linux_gfx_mode=keep
else
set linux_gfx_mode=text
fi
else
set linux_gfx_mode=text
fi
else
set linux_gfx_mode=keep
fi
else
set linux_gfx_mode=text
fi
export linux_gfx_mode

### END /etc/grub.d/10_linux ###

### BEGIN /etc/grub.d/20_linux_xen ###
### END /etc/grub.d/20_linux_xen ###

### BEGIN /etc/grub.d/20_memtest86+ ###
### END /etc/grub.d/20_memtest86+ ###

### BEGIN /etc/grub.d/30_os-prober ###
### END /etc/grub.d/30_os-prober ###

### BEGIN /etc/grub.d/30_uefi-firmware ###
### END /etc/grub.d/30_uefi-firmware ###

### BEGIN /etc/grub.d/40_custom ###
# This file provides an easy way to add custom menu entries. Simply type the
# menu entries you want to add after this comment. Be careful not to change
# the 'exec tail' line above.
### END /etc/grub.d/40_custom ###

### BEGIN /etc/grub.d/41_custom ###
if [ -f ${config_directory}/custom.cfg ]; then
source ${config_directory}/custom.cfg
elif [ -z "${config_directory}" -a -f $prefix/custom.cfg ]; then
source $prefix/custom.cfg;
fi
### END /etc/grub.d/41_custom ###
--------------------------------------------------------------------------------

========================= sdb1/syslinux/syslinux.cfg: ==========================

--------------------------------------------------------------------------------
# D-I config version 2.0
include menu.cfg
default vesamenu.c32
prompt 0
timeout 50
ui gfxboot bootlogo
--------------------------------------------------------------------------------

=================== sdb1: Location of files loaded by Grub: ====================

GiB - GB File Fragment(s)

================= sdb1: Location of files loaded by Syslinux: ==================

GiB - GB File Fragment(s)

============== sdb1: Version of COM32(R) files used by Syslinux: ===============

syslinux/chain.c32 : COM32R module (v4.xx)
syslinux/gfxboot.c32 : COM32R module (v4.xx)
syslinux/vesamenu.c32 : COM32R module (v4.xx)

=============================== StdErr Messages: ===============================

/home/ubuntu/Downloads/bootinfoscript: line 1646: [: 2.73495e+09: integer expression expected
cat: /tmp/BootInfo-8vBx5d0p/Tmp_Log: No such file or directory
cat: /tmp/BootInfo-8vBx5d0p/Tmp_Log: No such file or directory
No volume groups found

----------------------------------------------------------------------------------------------Output until here only------------------------------------------------------------------------------------------------------------------
Now, I don't know what to do further because I have tried other methods from threads like (the one link that found most promising:

http://ubuntuforums.org/showthread.php?t=1291280&page=2

I have compared with other outputs, but comprehending it and what to do further is something that I caot understand.

Regarding PC, I am using DELL INSPIRON N5050 series with 3GB RAM and 500 GB HDD. (i3 processor with x86 architecture).

Please guys help me. What should I do next now in order to boot ubuntu 14.04 successfully. I am posting this script using Live Ubuntu USB.
Thanks a lot for the help. Admirations and Graces to you for that.