Well the power came back on and I was able to reset the gfi without a problem.
I have tested the gfi outlet on the inverter and it works with a lamp plugged in. I'll have to trace the wires from the inverter to the breaker box, but it would appear only 1 circuit is wired to the inverter... the one which powers the sound system, fridge, lights and furnace. I'd that's the case, I'm going there's a way to move at least the tv onto that circuit.
Thanks for all the help guys. so much to learn for a new full timer!
