Install of 14.04 hanging sometimes and also saying "hard drive error" topic

I am fairly new to Ubuntu. I have had 13.01 on this computer for about 6 months with no problems. I love it. It was put on by a friend who did a complete wipe of windows per my request. (it was running very slowly and he said files were corrupt. (I assume he was talking about the files, not microsoft.) ;) Anyway, I was updating/ upgrading files and I could have rebooted or something while this was going on and it would not reboot. It went into a screen to follow certain things...I did all of those to no avail.I had all of my files backed up so I decided to do a complete install of 14.01. I followed the directions ...made a live boot disk and a live USB. Both of them will run ok but when I try to just install It hangs or I get the installation crashed. it is as follows:
Error copying files
[Errno30] read-only file system : '/target / mnt'

when I did a check disk from the Ubuntu software it said "2 files bad" may be a bad disk...needs to be in a cooler area....
and when it trys to report it says "problem cannot be reported"

When I first had the problem I took it to a computer repair place and they checked the HD and they said it checked out to be fine.
I did a check disk to find it was ok too.

The computer is a Toshiba satellite L655 I am running Ubuntu 14.04 from the Live USB right now
memory 3.7 GiB
intel pentium(R) CPU P6100 @2.0 GHz x 2
Graphics card intel Ironlake Mobile
OS 64bit
Disk 2.0 GB
I think the hard drive is 300GB

Please help.

James