Just verifying the 30 amp breaker on the inverter itself is pushed in? (See photo)
Also, check the breaker for the inverter in your main AC breaker panel and flip it off and back on again.
By what you are describing, your getting AC power when the inverter is ON because the inverter is working and converting AC power from DC side (batteries)
With that being said, the issue appears to be on the AC side of the equation.