Over current protection for inverter 120vac output

Pianotuna, what would that matter?
60 amps is more than 50 amps. The inverter is only capable of 120v AC so it can't be used to supply the 50 amp service fully. The neutral conductor of a 120/240v 50 amp service is only sized to carry up to 50 amps. Typically only the imbalance of the 2 legs. If you tried to power both legs from the same in-phase 120v supply you could still only use 50 amps because any more and you would overload the neutral.