I have never heard of anyone using Eternabond tape on an awning before but it might work. The stuff is very sticky and could act as a weather shield like a metal wrapper does. The trick would be to not get it on the awning rail as you would have to cut the edge in order to get the fabric off if you had to replace it. You might want to consider taking the fabric off and having an upholstery shop resew the bead back in on the good part of the fabric if it is not deteriorated too bad.
The first thing I would suggest on the refrigerator would be to clean the burner if you are getting an attempted spark from the controller or liter module. Remember that you may have air in the lines and it may take many attempts to purge it and get fuel to the burner. Please give us more info on the exact observations of gas mode. We might be able to better help you with this.
Mike, RVIA & RVSA Certified Master RV Technician
Amy, Dr. Assistant - Roxie & Mei Ling, four legs each
2000 Gulf Stream Scenic Cruiser 450 hp & 1330# torque
06 Saturn Vue, 06 Chevy Z71 4x4 & 2014 Corvette Z51 M7