well.... you have dione some good testing eliminating the GEM and RAP by unplugging them so you can forget these. Basically, when you say "cycling" are you saying unlock, lock OR unlock, unlock, unlock? IF it is the repeated unlocking, then you only need to focus on the PK/LG wire going to the unlock relay. A little "destructive" testing is then require as there are two of these going to the relay.... take your pick, cut one ( hopefully in such a way that you can remake the connection later). Does your problem go away??? IF not, then that connected wire has a grounding issue (measure / check it with a meter to see the "cycling"). IF it goes away, then the grounding is on the cut wire. Now to find out which wire you cut, check to see if you can use your remote (make sure that you have already plugged all your other stuff...gem,rap... back in) or any of the buttons to lock the door.... which one works??? Once that is determined, then you get to trace the appropriate wire looking for shorts to ground.