Mines had a short in the wiring which should be easy for an installer to locate. Maybe not the exact location but close enough to bypass that particular section of wiring.
Probably got water on the electrical connections. Once it's dried out everything "should" be fine. There is probably water sitting in the valley next to the starter.
No fuse to change. It's most likely getting stuck at the bottom. Try smacking the top of your dash above the instrument cluster a couple of times. This should make it move but it's only a temporary fix. Read this thread for a permanent fix.
If you have not fixed this issue already I would purchase a Denso remanufactured alternator from Rock auto.com.
http://www.rockauto.com/en/catalog/lexus,2000,ls400,4.0l+v8,1363564,electrical,alternator+/+generator,2412
Sorry for the confusion, I did not realize that he was commenting on a 92. I only have the 98 and there are only 3 wires connected to the cylinder that plug into a connector in the door.
Thanks for that info. I don't need the lights and I lock/unlock with the remote. I was thinking of trying to resolder the 3 wires back onto the cylinder if it turned out to be detrimental to the operation of the car.
I just changed my drivers door handle and had to remove the lock. All 3 wires attached to the cylinder broke off flush with the cylinder. I was real worried since I don't know what that connector controls. I put the door back together and tested all my lock functions with the remote key and everything worked as it always did. I'm wondering if that connector is somehow part of the security system. I have to test if the alarm sounds.