Well, because, for some reason it doesn't show up, I was looking at dump files from June 2014.
However, the latest dumps are still from December 2014, with similar bugchecks. A recent 0x101 is there, so stick to what I originally said.
Code:
Error : Internal timer (Proc 6 Bank 5)
Status : 0xfe00000000800400
Address : 0x0000388000e28ca3
Misc. : 0x0000000000007fff
It seems an internal timer error is consistent on the 5th memory bank, which could either be a coincidence or a fault in that memory bank.
Whether you want to buy a new CPU now is up to you, we could wait for more dump files to find a pattern or you can risk it if you so wish.
Apart from the crashes, your CPU seems to be very old, dating back to around 2008, the Bloomfield series if I'm not mistaken, an upgrade might be the best option anyway.
If you upgrade, do remember you'll need a new motherboard to fit the new sockets, the Haswell series is good (LGA 1150 socket).
I'm cautious about your PSU though, you say you don't know the brand?
If you use a PSU which isn't from a reputable company such as corsair, you can risk losing your components in the event of a failure, usually due to the lack of safety features in the PSU, hence why a lot of them are cheap. If you upgrade, it might be worth getting a different PSU, I recommend Corsair, personally. Their RM series are good.