Inverter/Charger Question

Hello. I am looking at building up my battery set-up with 3 or 4 150amp AMG 12v jars. My goal is to be able to run the polar cub 9200 AC unit in my camper for 15-30 minutes at a time if & when we need to cool off. I am looking at an inverter/charger unit like the Xantrax RV2012, Xantrax Freedon Marine 20, and the Magnum ME2012 units with a 2000W inverter and a 100amp charger.

I have a Yamaha 2000 generator, 200Watts of solar, PD9245 system now and am hoping to not have to bring the genny to run the AC. I am basically only carrying the genny to run the AC. I know if I run the AC too much the 200W of solar is not enough, but I can upgrade that.

My questions are on the 100amp chargers on these inverters. Will the Yamaha 2000 be able to power those 100amp chargers if I need to charge the batteries when I winter camp. Also, is the PD9245 going to put enough amps into the 3-4 batteries or should I just take it out and use the inverter/charger only. If the 100amp charger won't work on the Yamaha 2000, then can I just leave the 9245 and switch to that to charge the batteries off the genny. I have heard a PD9280 won't run on a yamaha2000. Will the 100amp charger work on a 15amp 120v outlet from my house? Kinda confused on these larger chargers.