I don't see any Solar panels in your diagram. Believe me, you'll appreciate not having to run the gennie for hours at a time.
If you plan on using a microwave (700w max) you'll need at least 400Ah's of battery capacity (bare minimum), or it will cause a low voltage event, on anything less then a full charge... I set my inverter's low voltage alarm off yesterday, running the microwave and laptop, on a near full 430Ah (4x6v) bank. And you'll need a 1500-2000w inverter... I have a 1000w, and it's barely able to handle the 1080w draw from my 700w microwave.
I forgot to mention, both the inverter and the short (shore/gen power) ext cord are equipped with gfci receptacles, so the entire 120v system is ground faulted. On shore power I have 15a service, on inverter 8a ( but a larger inverter and battery bank could give you 15a).
