'01 Continental Multiple Electrical Problems at once

I have an '01 Lincoln Continental with 57,000 miles on it. I have owned the car for about two months. It recently has had a set of electrical problems all at the same time.
1) The keyless entry door keypad quit working. It only illuminates when the center buttons are pushed. It will not accept the code to open doors.
2) The interior lights cycle on and off continually when the car is parked.
3) The lock solenoids keep trying to lock the doors, usually about once per second or so.
4) The drivers door mirror tilts to the downward position.
All of these problems are intermittant. I am pulling the door lock fuse to stop the lock coils from continuously energizing. I pulled the keyless entry pad fuse and that stopped the interior light from coming on.
Any ideas on what to check? I was thinking the keyless entry pad was the culprit but the locks kept trying to lock with the keyless entry pad fuse removed. I have measured the voltage running at the battery and it measured 13.23 volts.
Would the Lincoln Mercury dealer be able to pull error codes to see the problem? ( I had a 99 Crown Vic that I took back under warranty many many times for a battery drain problem that they could not find) Any suggestions would be appreciated.
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There is probably some sort of computer control for all those things. I would disconnect the battery for an hour and see if that resets the computer.

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