Travis, I'm not understanding your last post.
It SOUNDS like you plugged your trailer's shore power cord into the generator. If you did, it should power your AC outlets, but not the Air Conditioner which is a very high Amp device. It should also power your interior lights, the water pump, fans, and, it should deliver charging current to the battery - these are ALL 12V DC devices that would be powered through your converter/charger, which would be receiving power from the generator through that shore power cord.
Now if you did not have the Master Switch set to the "Camping" position, then the 12V DC devices would not get power.
And, I didn't want to be a "Debbie Downer", but your solar generator has a 1000 Watt capacity when its internal battery is fully charged. That battery has to be recharged by a solar panel. I have 3-100 Watt solar panels on my trailer, but under optimum conditions they can only deliver about 150 Watts, or around 11 Amps of charging current. This is typical performance for solar panels. It will take a serious solar array to keep your generator operating at 1000 Watts capacity.
I'm not sure your solar generator is going to do what you want it to do.
- Jack