Slightly confused about the terminology you used for the AC pulling 75-100 amps.You may have a little problem with the output from the solar panels. In order to charge a battery you need 1.5-2.0 volts more than the rated battery voltage. Just because it states 380 watts you need to know at what the voltage is also.
Reserve Capacity - The number of minutes a fully charged battery at 80°F will discharge 25 amps until the battery drops below 10.5 volts.
The battery you chose has 475 minutes of reserve. As long as the inverter doesn't pull over 25 amps you will have about 7 hours of run time. But I'm going to guess it will pull 75-100 amps to run an a/c unit.
The inverter would be amps and prob 18-30 but wouldn't anything being powered by the inverter no longer be amps at least not DC amps like the inverter. An AC unit pulls 12-15 amps ac @120v, but when pulling power from an inverter, don't they typically quote everything in watts?
I know watts divided by volts is amps but one power/current here is DC and the other ac. There's a division/multiplication factor of about 10 involved.
A lot of starter motors only pull about 100 amps and an inverter powering an AC or whatever will be no where near that.