No need to post pictures of your display. I'd like to do a few things. First, if you have anything plugged into a usb port please unplug it.
1) To check the ram, download memtest (
http://memtest.org/). Burn it to a cd using a dedicated .iso burning utility (
http://www.petri.co.il/how_to_write_iso_files_to_cd.htm), make sure the cd drive is at the top of the boot order in bios, then boot to the newly created cd and run the utility. Let the test run for several hours. If you see any errors, that's the problem. If you don't, proceed to the next step
2) To run checkdisk, open a command prompt window and type: chkdsk /r (then press ENTER). You'll be told the disk is in use and asked if you want to run checkdisk on the next boot. Say yes, exit the command prompt window, and reboot.
If you get another blue screen error after doing the above, we will try a selective startup.