Yesterday, I noticed the following issues:
The dome light does not turn off while in the center position with the doors closed (the door lights are off),
The key reminder buzzer sounds when the car is turned off (key inserted, doors closed),
The light around the ignition stays lit,
While the car is running, if I try to lock the doors, all of the door locks unlock.

This just started out of the blue. I would suspect the ignition switch, but it appears to function normally since the car starts and stops fine. Possibly a stuck relay. Does anyone have any ideas?