Thanks for the info Dan. Our breaker panel even has a factory switch for the inverter, so I assume it was an option, not positive though. The surveyor said the Air should be wired to power #2, but was not. So that is being fixed so that it is wired properly.
The surveyor confirmed that the factory cable is connected like you said, I just need to plug into shore cable and connect to the TV, and we will have cable TV on the boat at the dock. This will be something new for us, as we just had rabbitt ears and 2 channels on our previous boat.
We are getting closer to closing on this boat deal, and am looking forward to a successful sea trial. After that, I'm sure I will have plenty of questions to ask.
Thanks for your help, and keep your camera handy, I may ask you for some pictures someday.