Mike,
From your description of the problem, it sure sounds like the problem is in the connector that the seat plugs into, the one they unplugged to remove the seat. My 01 Contessa has a 2 wire connector under the seat. If you haven't already done so, check voltage / on both sides of the connector. I'd also unplug it, spray it with contact cleaner and replug it a couple of times.
Good luck, Steve