Hi Tom, slightly off topic, but have you ever replaced your gear selector knob? I've got an auto too and the knob is all scratched... Previous owner must have worn a ring! I've found a few online but didn't know which we're best.
Bet it's a single part of the trim and label. Was on my X5 and had to make my own when. I reversed the + and - so both my auto shifts worked the same way.. BMW reversed it around 2002