Premise
I am running Linux Mint on my sister's computer. Everything was working fine, but then one day she turned it on and she got a strange message she didn't understand. I think it was some kind of question in terminal. Unfortunately my sister, despite her natural intelligence, didn't know what to do and decided to simple turned the computer off. Since then, everything goes wrong.
The problem
When booting I got classic Linux Mint splash screen, when pressing ESC I get this: 
The message on third row and later mean:
/dev/sda5 clean, 182625/1602496 files, 1140445/6401536 blocks /dev/sda6 clean, 20551/10928128 files, 14921843/43686912 blocks Partition for /home is not ready or present. Continue waiting or press S for skipping the mounting or M for manual mount.
Pressing neither of those buttons work. It is simply stuck and does nothing.
Attempt 1 - recovery mode
So I've realized I am having problem with /dev/sda5 or /dev/sda6. I booted into recovery mode. I tried to check for consistency of packages and I got: 
Again the same message, only one more:
/dev/sda6: the journal is renewing
Again nothing happens. Choosing different operation in recovery mode menu leads to the same thing.
Attempt 2 - gparted
I've downloaded a live cd with gparted to check out the disks. In gparted I've checked the disks, no errors. Hm. I mounted the both /dev/sda6 and /dev/sda5 in terminal, which worked. I was able to see all data unharmed.
Attempt 3 - getting rid of /home
Because everything has been about the bloody /dev/sda6 which is automatically mounted to /home I've decided to remove it from /etc/fstab and leave only the system disk /dev/sda5. It was easy hence I was in gparted already. I rebooted and nothing happened. Not even splash screen, no message, no sound from computer at all. It was running, but doing nothing. Uff. EDIT: I am still able to get past grub. This nothing happens AFTER choosing Linux Mint in grub.
Attempt 4 - reinstall?
Since I have the /home on separate partition I was wondering I could simply reinstall the system. I've downloaded ISO, put it on USB, and I was astonished to get another terminal like text and freeze: 
Attempt 5 - Stack Exchange
You are on, guys.
Final notes
I have the feeling all this leads to hardware problems, but a) I've successfully mounted both partitions and b) I have windows 7 on another partition (but same disk) that works. I guess formatting the disk using gparted and install Linux Mint again would work, however I would prefer saving all the data (I would have to back up everything). Any help how to debug or fix this problem will be much appreciated.
Reports
fdisk -l https://dl.dropbox.com/u/71390144/keepers/fdiskl
fsck -n /dev/sda6 https://dl.dropbox.com/u/71390144/keepers/fsck6
cat /etc/fstab https://dl.dropbox.com/u/71390144/keepers/fstab
smartctl -a /dev/sda https://dl.dropbox.com/u/71390144/keepers/smartctl
fstabcorrect? I mean is it mounting/dev/sda6ashome?/etc/fstaband the output offdisk -l(from the GParted livecd). Also runsmartctl -a /dev/sdaand post the output. Runfsck -n /dev/sda6, are there errors?