Sounds pretty obvious; but it's worth to mention...
Have you thoroughly cleaned the mouse?, do you have any other to test? :-)
As for the A3000, if you don't find yourself comfortable with a soldering iron, simply cut the battery before it leaks. They can do it pretty fast, in less than a year you can get a nice corrosion.
Also, if the mouse itself seems to work fine, the video & movement problems could be related to drying capacitors. If they haven't been changed yet maybe it's time to do it.
Was thinking the same thing. Dirty mouse rollers.
