You have multiple and varied bsod errors. This can be the result of failing hardware or malware. Here is what I would do:
1) Run full scans with BOTH your anti virus app AND with malwarebytes
2) Check the ram:
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.
3) Check the hd:
To run checkdisk, right-click on a command prompt icon and open as administrator. In the command prompt window 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.