You said Inverter problem.. I suspect this inverter is an "Inverter/Charger with AC Pass Through" from what you said.
And.. one of the following conditions exists,, In sequence order
Bad outlet (The one the rig is plugged into) This includes tripped breaker or GFCI, NO power to the outlet)
Bad power cord
Bad Automatic transfer switch
Bad or tripped main breaker in breaker box
Bad or tripped INVERTER breaker in breaker box
Then, finally, after all that, we come to bad inverter.
Home is where I park it!