The cursor jumping all over the place could very well indicate that the track pad is faulty.
If the screen is black and stay black for a long time, or for ever, it's often that Windows just can't start, usualy because of a missing or corrupted essential file.
At 12 years old, as there is at least some hardware related problems, it will be cheaper and easier to get a new one. That new computer will be MUCH more powerfull. Something like comparing a Ford model T to the latest Ferrari.
For your files on the actual drive: Take it out of the computer and install it in an external enclosure and use it like an external drive.
Electro, July 2015