Marginal. AC will draw 12-15A typically, microwave 10-12, so if you have much of anything else on, may trip the 30A breaker. Or if microwave is on, AC off, and AC starts, short term draw may trip breaker. Water heater absolutely must be on gas if your doing this, water heater on electric draws 15A or so,
Now if you also have a AC fridge.... your really pushing the limit and absorption fridge should be on gas as well.
If your batteries are fully charged and not much 12V running, your good on that respect but if you have much 12V draw or battery discharged the battery charger could be drawing anywhere from a few amps to 15A or so.
So..... all you can do is try it.
As for real world results, we do run the AC and microwave on our 30A service BUT fridge is on gas, battery fully charged, not much on 12V and since we have a panasonic "true inverter" microwave which doesn't cycle power for low duty cycle but runs at lower power constantly, when the AC is on we don't use more than 50% power which is 700VA, about 6 A instead of the 12 or so at 100