I replaced the bulb in the rear turn signal and it still didn't work which probably meant one of two things, either the electrical system had a short to the turn signal or there could be a faulty wire or connection. I cleaned all connectors and connections with a wire brush and some fine grit sand paper and got no results.
So finally, I took out my Multimeter and tested each connection that went to the turn signal. You're checking for resistance when looking for a short which means a reading of more than 0.9 constitutes a short.
Turns out there was a short in the wire to the turn signal all the way up to the main connector. The problem is that nobody sells just the connectors with wires anymore so I was going to have to find a second hand one somewhere. I searched all over the place and finally got a response from Ian at http://www.944online.com/. If you need parts, have any problems or questions with your 944 you can ask them, they know everything over there.
He said he had a working bulb assembly that he would send to me for free and no shipping charge! It's a very rare thing that someone gives you anything for free these days so thanks a lot Ian. Even better, when I got the part in the mail he included all working bulbs and the case assembly for the tail light.
It was a quick installation and now it will pass inspection. Out with the old and in with the new(er).