Our 2004 century has problems with the gear indicator lights, occasionally 'clicking' between drive being on and off, all while driving the car without any shifting problems. Also, the automatic door locks don't unlock when the ignition is turned off anymore. Today, my wife mentioned that the reverse lights were on while she was in drive and was not having transmission problems.
I assume it is an electrical issue, as the transmission fluid has checked out fine and shifting seems to be normal. Any help would be greatly appreciated.