Your bugcheck indicates that your graphics card stopped responding and windows attempted to reset it. the reset failed and windows stopped the system to prevent damage.
-static discharge, short circuit from dust, or heat damage?
The lines and dots on your screen while in safe mode would indicate physical damage to electronics in your card. (assuming your PCI bus and card is not overclocked)
Check your card warranty, I had a card Sapphire card fail in the last month of its warranty and they actually refunded the entire purchase price to me when I showed my newegg receipt. The card failed like yours, lines on the screen, it would work but bunch of video artifacts.