HP P6-2203a graphics driver problem?

I had a bad virus and had to reinstall windows.Since then I have had trouble booting up or when it goes to idle after about 10 minutes or so it wont come on again? I have to shut it down by holding the power button for 5 seconds and wait 10 seconds and it will boot up again. Lately it took about 4 goes to start it again? I think it may have something to do with the graphics because it changes resolution settings by itself every now and then? I started it up the other day and this is the picture I got in the photo but it came good again on restart? When it boots up I get a command prompt window that flashes on the screen for a second.(that may be unrelated though)? I checked out HPs graphics drivers but I dont know which one to install they have Original AMD Unified Graphics Driver 8.960.11.1000.REV.A 152MB july,2013. and Original AMD Graphics Driver. 8.945.0.0 REV.A 159.1MB Feb,2013. I used the automatic HP driver program that searches your computer for outdated drivers but I cant make heads or tails of the results it showed? Probably because I'm 60+ Y/O.LOL Any help would be greatly appreciated.

I think its my HD7560D graphics card has had it? My computer boots up no problem now when I plug the monitor cable into the VGA port.I downloaded and installed the latest graphics driver 14.501.1003.0,will that work with a Gigabyte HD6670 card? Or do I uninstall this latest driver and run the CD driver that came with the Gigabyte HD6670? I don't know how these things work,so I need some advice?

Thanks mate,you explain things so clear and concisely that even I can understand it which is amazing! LOL