Re: 2000 Wj random electrical issue
Wipers and high/low beam switching goes via the BCM (body control module). The key light is part of the SKIS (sentry key immobilizer system) and it comes on when there is no valid key. With the key light on, the engine will start, but shut down after a few seconds. I would have a look at the Junction Block under the steering wheel. It is the interior fuse panel, but has also the BCM bolted to it. Check for any loose wire/connector.
This is the first time that strange electrical behaviour occured? Is it still doing it, or was it just once?
The wipers and headlights where coming on by itself?