Need air conditioning? You will need a generator and the Yamaha 2400 will be marginal.
Also with generator you may need to upgrade the converter for $150-$225.
Otherwise I recommend 200w to 500w of solar. 250w and two batteries might just be fine. You will need an inverter to power 120v items. For microwave you need four batteries and 1800+ watts of sine wave inverter.
Full timer may need at least a small generator to get through all conditions. 2x or 4x GC2 alone should generally get you through a long weekend in mild weather. Solar just makes it a bit easier.