Multiple and varied blue screen errors generally point to a serious hardware issue. If I were you I'd do the following (in this order):
1) Download and run memtest to check the ram (http://www.memtest.org/
). If ram passes with no errors then
2) Open an elevated command prompt (right-click on command prompt icon & open as administrator). Type: chkdks /r
(then press ENTER). Say yes when asked if you want to run checkdisk at the next boot. Exit the command prompt and reboot. If hd passes with no errors then
3) Download and install the latest drivers for video and sound cards and check for a bios update. Get the drivers from the OEM websites, not from Windows Update.
If there is still a problem you may have a bad motherboard.
Please post back with results.