Bit-defender rescue cd might fix your problems, it boots into a different OS and scans windows without it being on.
http://www.bitdefender.com/support/how-to-create-a-bitdefender-rescue-cd-627.html
or
Kapersky Rescue Disk does the same thing. I just like Bit-defender better.
http://support.kaspersky.com/8092
You can find used r9-280x on eBay for cheap, and later you can upgrade the cpu. All of your other parts are fine.
http://www.ebay.com/itm/SAPPHIRE-100363L-Radeon-R9-280X-3-GB-384-Bit-GDDR5-/181524794574?pt=PCC_Video_TV_Cards&hash=item2a43b88cce
I found LinusTechTips by the YouTube recommendations. I am lucky I found LTT because it is one of the best channels on YouTube.Your channel is vary informational and inspiring and for that I give you my thanks.