Re Reading the original post I think I see the problem
The Rooftop antenna is hooked to AUX not to ANT. only the ANT jack sends power to the roof for the booster that is built into the antenna.
Either that or the cableing is messed up in some other way.
But it sure sounds like a cable issue.
One thing that may cause issues is the cheap crimp on connectors nearly every cable manufacturer uses,, I mean a good hard sneeze and they pull right off the end of the cable.
I use Compression fittings Not easy to pull those off.
