Inverter in '98 Dolphin 36'

[zzjea]

Coach is National Dolphin '98 36' 5350 on a Chevy P30 chassis with a 454.

I have purchased a 1375W inverter to add to the coach. I plan to put it near the battery bank and run a heavy duty extension cord to the TV, DVR up front. The inverter does not have an auto transfer switch built in. The cord seems to be the easiest solution unless I can get a transfer switch to put on the inverter.

Questions:
1. What is my alternator output in amps?

2. Does the alternator charge the house batteries while running (i.e. is there a battery isolator?)?

3. When I use the inverter and it lowers the charge in the house batteries, is the only way to charge them back up to run the genset or connect to shore power?

4. How would I set this up so it would be on an auto transfer switch? Is there an inexpensive solution to get it auto switched?

Any other ideas or info is appreciated.

John