GEM module I need a schematic diagram for the module?

It is nothing but a grey wire that comes from terminal 16 and runs up through the harness to the front of the car. A simple test is to go to the module itself and try the remote right next to it. If it doesn't work the module is suspect because at that range the antenna isn't needed anyway. Plus, I doubt it is the antenna because it only increases the range you can get away from the vehicle.