I have a weird issue that might be kind of similar - turn my 2002 explorer off and the dome light will come on, but doesn't go off automatically after time. The delayed accessories work. The only way to turn the dome light off is turn the dimmer all the way down until it clicks. If I do this, none of the delayed accessories will work anymore when turning the car off.
Also, my remote was doing all kinds of crazy stuff, hitting the unlock door button, or the rear open button for example, will intermittendly act like the panic button and make the horn go crazy. This doesn't happen if the light dimmer is completely turned down.
Is my problem the delayed accessory or other fuse?