Please Help Alienware Aurora R4 problems.

Alright so I got my computer May 18 of 2012. My warranty ran out May 18 2013 and my computer broke on May 20th. I've tried fixing it by myself but im having no luck. What was happening was that my computer would run extremely loud and then shut itself down. I thought maybe it was overheating but my case and fans are perfectly clean and properly working. Therefore, it wasn't overheating so then I thought maybe it was an update I had missed. I checked for any windows updates, but there were none that needed to be downloaded. So then I came to this forum and they told me to do a system restore. So I've done the system restore and it reset to the way it came when I got it in 2012. So of course it had a lot of updates to do. I let it do all the updates which Is around 100 and takes a little time. After it gets through installing all the updates I get on it and it'll run extremely slow for about 5 minutes then it will shut down. When I start it back up it goes to a black screen and asks me if I want to run a repair or start normally so I do the repair and it restores it all over again and then the process starts all over again. I download the updates again get on it for about 5 minutes then it shuts down and I have to repair and reset again. I've tried running the ePSA but every time I try it gets frozen on the very first thing but It doesn't give me any error code to go by. Before I reset my system for the first time I ran the ePSA and it didn't detect any problems anywhere in my computer. I'm not that great with computers but im trying to do this myself because I cant really afford to pay $70 for a phone call to alienware support because im out of warranty. I really don't know what happened to get to this point because I always have my computer protected with McAfee  and I keep my internet browsing pretty clean besides going to youtube or facebook. I spent a good amount of money on this computer just for it to run good for a year. I don't think its anything to do with my hardware because my comuter has never been dropped or moved around a lot. The only thing I can say that could of went wrong is that I got told to update my BIOs because I am on A03 and the newest one is A11 I believe. However, I don't think this is what ruined my computer because I did that after it was already messing up and running slower than a stoneage computer. Some help would be greatly appreciated.