Q: Mouse jumping, window displaying randomly

I think I have resolved the problem - mouse not moving, etc (for now).  I have found out on another site that if you allow remote access to your computer - I did from Apple App development support - you may get this problem.  Searching Apple support, they suggest the following:

Be sure to learn about when to reset NVRAM and PRAM before attempting these steps.

Resetting PRAM and NVRAM

1. Shut down the computer.
2. Locate the following keys on the keyboard: Command, Option, P, and R. You will need to hold these keys down simultaneously in step 4.
3. Turn on the computer.
4. Press and hold the Command-Option-P-R keys. You must press this key combination before the gray screen appears.
5. Hold the keys down until the computer restarts and you hear the startup sound for the second time.
6. Release the keys.

Your computer's PRAM and the NVRAM are reset to the default values. The clock settings may be reset to a default date on some models.

Resetting PMU on PowerBook or iBook computers

In some troubleshooting situations, if resetting PRAM does not resolve an issue, resetting the PMU may be the next appropriate step. For information on when this is appropriate and for instructions on how to reset the PMU in your PowerBook computer, see Resetting PowerBook and iBook Power Management Unit (PMU).

Gene

Resetting PRAM and NVRAM - did not work!!!! 

Hi - I may have resolved the problem as I have reset PRAM and SMC to resolve this curser problem - I called it mouse problem.  I also had to reset PMU.

Good luck.