It looks like you are having some tough problems with the system. First - something really simple. Turn off the system, disconnect the power from the wall. Let the system sit for 15 minutes, and open the case. Gently, push down the video card into its' slot. Sometimes with a lot of hot/cold cycles, that card rises up in its' slot and loses some of the connections. The other potential issue is that many cases have misaligned back planes and as a result video cards in particular do not sit properly aligned with the motherboard slots. That's a common problem.
Next, do the same with your RAM and any other slotted cards in the system. Put the case back together, but before you connect the power supply, remove the cable for the video to your monitor, and reset it in its' sockets on both sides. Those lines could mean a video cable that has either become loose on one end or the other, or has gone bad. When that happens, it is common to see either red, blue or green lines on your monitor. Now, turn the system on and see if that has any effect on the video issues. If there is still a problem, and you have another video cable you can use, try that and see if anything is better.
Before you close the case, replace the motherboard battery with a fresh one. If that battery fails, the system bios will not work properly. The battery is a CR2032 and is available usually anywhere batteries are sold - it is a common flat LiIon battery used in lots of electronics. If you need further instructions on how to do that, let me know.
If the problem persists, go to Start/Run and type the following command:
A new window will open. Run all the tests in all the tabs, and post the report you get. In particular, I am interested in any errors that appear in that report.