hate to bring up the fuse again but i'd make the inverter connection beyond the fuse you have. especially if the lead to the inverter has a switch on it.
On which side of the inverter?
I have already realized that I need to put a switch in to make sure the fusebox is only going to get one source of AC, shore or inverter, so that one does not feed back through the other.
If anyone can sketch in anything I have forgotten, or any useful changes (like how to add a solar charger to this circuit), that would be great.