I had a similar issue with my 2002 T&C. I had taken it to the dealer 2 times and they fixed it but the issue returned after a few months. It would be off when cold but on when warm. The 3rd time I fixed it myself after finding the correct connector (as you have) by cleaning and tapping the prongs down a little bit to make a better connection in the connector. So far no more problems with the airbag light.
2002 Chrysler Town & Country (the kids favorite)
2001 Subaru Outback Wagon
2002 Subaru Legacy Sedan