Thanks for the help and pointers. The battery contacts seem to be working fine, and the aerosol to the switch didn't work. I'm afraid it looks like a return to Olympus is going to be in order. There doesn't seem to be a good (less costly) alternative that I can find.
sdromel is right that I won't find another UzI for the cost of the repair (I think their flat fee is $198.00), but I still hate it- I just bought this camera a bit over a year ago!