I'm sure there are other things within the lighting system to check, but do all interior lights work properly when opening the respective doors? Perhaps you have a bad door switch that's causing a problem and can find it by its malfunctioning. Then i guess you need to look at how they tie into the unlock feature (I can't remember as my e53 has been gone for so long) as the lights come on with a remote unlock correct? you can do the same with glovebox switch and maybe check to see if the flashlight charger in the glovebox works properly too. Does yours have auto wipers? There might also be an issue with the windshield sensor if so....lot's to look at...electric gremlins are always the worst.

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