Run Memtest86.
It worked on my other computer with the same psu, if it was over it wouldnt even start
Not exactly. It would start, but as it keeps going and the parts keep increasing their power demand, the PSU won't handle it and crash.
For the love of Christ, the PSU is not the problem. 600 watts could power an i7-4770k and a 780 for the love of god. Since it's most likely not your RAM , the only thing I can think of at this point is that you had a faulty OS install or that some of your drivers have not been updated properly. If it's really that bad I would first uninstall your drivers, re-install them and restart your computer. If that doesn't work then you may have to do another OS install.
The RAM is definitely faulty. Figure out which stick it is by using one at a time, then RMA if necessary.
It depends if you want to change processors or not. Look at prices and benchmarks and see which one is more suitable for your needs.
Memtest86 tests RAM, but nothing is perfect.Probably faulty drivers...?It'd be nice if you showed us pictures of the bluescreen.
Memory exceptions will still happen, mark my words. I was stuck with bad RAM for a year and something, you've described all the symptoms of it.
That's not my decision.