Ok, I might give it a go looking for it. Below is why it's a "might" and not "will".
I had some luck today with the new antenna. Yesterday, I decided to be persistent so wired the new antenna to come out in the glove so that it can be stored there. Today, I had to drive home and back to the office in my lunch break, so decided to stick the GPS on and see what happens.
Eventually I noticed that the the number of available satellites went up from saying nothing to 27. I took out the antenna from the glove box and put it on the dash, and in about 5-10 minutes later voila -- got "connected" to 6 satellites and my position was spot on.
It seems that the "cold" start on the GPS is very very slow. In total, I think it took about 40 minutes to get the lock.
Success
I am going to test it a bit more to see if it keeps working, then I am going to hope that the antenna works from inside the glove box as well so that I don't have to fiddle with it every time. EDIT: I just realised that I could get it to come out the side of the dash and rest in the corner of the window, now that sounds better
Now to investigate the squeak coming from the clutch -- it never ends does it