Alienware X51 - Blue Screen + Freezes

Hello everyone,

My Alienware X51 (bought early 2012): I started having this issue around January - February 2015 and it has continued around 1-2 times a week. The computer will either freeze completely or will blue screen; the only way getting by it is whenever I hold down the power button to shutdown. Whenever the freeze / blue screen happens and I attempt to restart, it will either immediately start back up, or will make endless beeping sounds. If I get the beeping sounds, I have to pull out the power cord for it to start back, because if I don't it will just keep beeping every time I hit the button. 

One time when it blue screened, I wrote down the code and looked it up. Code: 0x0000000A but I tried doing what a help website said to do but the next time it blue screened it had a different code (it changes every time it blue screens).

The only thing I've had done to the computer was have a new hard drive put in it after the old one fried (it was put in by my local computer specialist) and I take the cover off and clean out the fan and components about once every 4-5 months. I hate that the newer Alienware X51 came out a few months later with upgraded specs and I really wish I could upgrade to it, especially with this thing falling apart. But I know most computer companies wont let you do that (or at least not for free anyways) and I really don't want to pay for a complete new computer but I have a feeling that's what I have to do.

 Any help will be greatly appreciated :)

Things I've Tried:

Pulling out power cord

Updating all drivers

Uninstalling unused programs

Deleting unused files / junk

My computers specs: