I'm not a solar expert by any means but 160W total isn't going to do much if your trying to run the 110 stuff for any length of time. NO A/C that's for sure without the gen.
I would consider changing the batteries to a pair of 6V GC batteries and increasing the solar power. With what you have described, your going to need an adapter plug to use the 30A shore cord with the inverter. The inverter needs to be AS CLOSE as possible to the batteries to prevent voltage loss or else bigger cables, this may mean an extension cord. IF that's the case, you'll need to get the proper gauge to handle the load.
It sounds like your trying to go "off grid" and I applaud you for it, I just don't want you to be disappointed.
2012 Copper Canyon 273FWRET being towed by a 1994 Ford F350 CC,LB,Dually diesel.
Airlift 5000 bags, Prodigy brake control, 5 gauges on the pillar.Used to tow a '97 Jayco 323RKS.
Now an RVIA registered tech. Retired from Law enforcement in 2008 after 25+ yrs.