I acknowledge all the posts to date. I am not good with electrical tasks. I have replaced receptacles (including the GFCI a few times), I ran the line for the 30 amp rv outlet that I use at my home from existing wiring in my garage, I replaced the inverter a couple years ago with the same as the original and I have helped and watched others working on electric. I am waiting for help from a neighbor who was an electrician for industry. We both have had other things occupying our time recently. The neighbor has been away all day, but I will contact him when he returns. I plan to give him a tour of the inverter, GFCI, refrigerator outlets and bring him up to speed on all the electric as I know it. I will have him read my post and the responses as well.
This morning the 15 amp breaker tripped on the inverter. The outlets were dead. The GFCI did not trip. The refrigerator displayed NOCO. I turned off the frig and reset the breaker. I turned the frig back on and the outlets worked , too.
I will update and post the results after addressing these issues. Thanks to all.