- The BIOS health screen is good for an initial check but its values are only under a minimal load. Run HW monitor, etc. while taxing the PC, playing the MKVs, prime95, etc. Still, this is only a coarse measurement and won't tell you if you're having spikes/sags large enough to cause problems.
- I agree your PSU is of low grade (but, again, unlikely the culprit) but I do not agree with "one rail" PSUs--that is asking for trouble on so many fronts. I prefer Enermax PSUs. jonnyguru.com is the only proper PSU reviewer; you can't test these with crap from Radio Shack.
- Inability to play MKVs is a pretty specific issue that wouldn't really be caused by power; if power were an issue, it would show on any/all similar loads (playing AVIs, gaming, etc.) and the effect would be more dramatic--usually a spontaneous reboot. Your problem is very specific and you should look at what, specifically, is used to play MKVs. Did you try transcoding like I suggested?