Usually, a bad or failing PSU just crashes the system. no BSOD. Causes a game to exit to Windows etc.
BSODs typically tends to be hardware or driver issues.
I would however, upgrade that PSU to a better one as soon as you can.
The Apevia in't a very good PSU, especially for your build.
4 rails @ 13Amps each. Unfortunately, you cant just add them up for a total of 52Amps. It just doesnt work that way as its splitting the Work load into smaller values.
it could possibly be a PSU issue, But, first thing I would do is try to check if the RAM is good.
Download MEMTEST86+ here: Memtest86+ - Advanced Memory Diagnostic Tool
burn the ISO to CD or put it on a USB Drive whicever you prefer, and run it.
this should tell you if theres a RAm problem.
Also check the drives for corruption:
open CMD prompt as Admin and execute the cmd :
Let us now what the results are.
<<EDIT: I need to type faster :P >>