Jekern,
Let me just say that you are not the first to do this and probably will not be the last. This is the sort of work I used to do on boats and may again if the market ever comes back.
The systems have to have some cross connection to charge the hotel bank from the main engine. More down the page.
When a battery gets installed backwards, there can be a lot of damage done as soon as the terminals are connected. Many things are protected from reverse polarity with sacrificial parts included. Unfortunately, often professional repair is still not economic. Before you started the main engine, you had already done damage to everything polarity sensitive.
Things to test right now:
-The converter/charger (most have fuses, but they may not be fast enough)
-The inverter (if you have) (also has fuses)
-The power supplies for entertainment systems even if "Off"
-Fluorescent lights
-Tank monitoring systems
-Energy control or monitioring systems
Things that will probably survive:
-Pumps and motors (if not on they were safe)
-Incandescent lights
Your Winnie uses a heavy contactor (looks like a Ford solenoid) to charge the house (hotel) bank from the main engine alternator. When you started the main engine, that contactor closed. As soon as that happened, lots of things in the main engine systems may have been damaged. First on my list is always the alternator diodes. I suggest that if you can't confirm that it is still completely operational, that you remove it and take it to someone that can test it. There is also a light gauge wire in the harness called a "fusible link". It is actually a multi-hundred amp fuse the protect the vehicle harness. It is in the main power harness either near the battery or the starter main terminal. If you can find that, and the insulation is saggy, you can get replacements at most auto parts stores. Most of these are lost to corrosion, but lots of them get burned up too.
I wish you luck.
Matt
Matt & Mary Colie
A sailor, his bride and their black dogs (one dear dog is waiting for us at the bridge) going to see some dry places that have Geocaches in a coach made the year we married.