I'm glad to hear that it worked for you. There are lots of questions about this generator on the interweb.
Can you share your personal experience with its noise level. Some are put off by the HF spec of 64 dB but from what I read that is not accurate and it is much quieter.
I think you have everything figured out. Even on my 3000 watt Boliy, I cannot run a/c if my batteries were low or if I forgot to turn off the 120VAC switch to the hot water heater.
On a side note, it is refreshing to hear you talk about engine break in. Lots of folks get frustrated and don't realize how important it is and that a generator won't provide max power until its rings are fully seated.
My Boliy has a Nikasil lined cylinder and it took forever for it to break in. It took two camping trips running the generator 6-8 hours a day before it would powerup the airconditioner. Back then, my converter was 25 feet away from the batteries and the voltage loss over the 10 gauge wire at that length made recharging the batteries a very lengthy event.