I'm not a rookie when it comes to electrical work. I've done a fair amount of building and remodeling that included AC electrical work, including running buried cable to a new outbuilding (wood shop) 100A load center. And many years ago I did stereo and television repair work, so I'm familiar with DC as well.
But after many hours sifting thru the info in this section I'm still not 100% sure what I need to do when combining AC and DC circuits.

I think I've got it right, but would like those with more expertise than I to review it and comment.
First, since I only have a 4 pin connection, my trailer lighting will be a separate circuit isolated from this camper wiring and powered only by the TV, and is not included in this plan.
This plan is for both DC and AC circuits with shore power using a PD4045 converter and 1 (or 2) deep cycle batteries.
I also plan on using solar panel(s) with charge controller for off-grid recharging.
I will use return wires on each DC circuit back to the controller via a DC negative buss rather than relying on chassis ground.
Now for the questions:
1. Do I still need a DC negative connection to the trailer chassis? I'm thinking that I don't so I can keep the DC negative isolated from the AC ground.
2. If I add an inverter, can I tie the AC output into the same AC outlets powered by the PD4045?
3. Can I connect it back into the PD4045 for the AC supply?
4. Do I need to use separate outlets for the inverter?
5. Recommendations on an inverter to use and how to connect it?
I have not yet worked out the details of the individual DC circuits, but will probably end up using fewer after doing the power calculations.
I'm continually amazed at everyone's willingness to help others with their design work, and I greatly appreciate the help I have received. This is one of the best forums I've ever been associated with.