I note in the pics that the lenses are missing on the rear marker lights. Would be smart to replace them and reseal to prevent water intrusion. Otherwise looks like you are off to a great summer of camping.
I have bought 8 tents from the Eureka outlet, plus other camping gear. I can't say enough about the quality and service I've gotten from them. Personally I would recommend the Equinox. Plenty of room for 2 and their gear.
PM me if you want some additional info.
No need to remove the weight distributation bars. Place leveling boards where necessary to level trailer from side to side. Back up on them. The X-chocks on both sides should be all that is necessary. Then you un-hitch.
IMHO. The best bang for your buck would be 2 of the Champion 3500w units. I base this on the fact that you stated this is for emergency use, not that you would depend on one for typical camping use. Having 2 gives you more options about placing them when they would be in use. You wouldn't have to stretch out long extension cords to reach your trailer and the appliances in the house.
Should you want to quiet them down, Supergen makes an enclosure specifically for them Tent.
I had a Reese Dual Cam HP hitch w/ 1200# bars on it. Even with that I was buffeted by gusting cross winds and when being passed by trucks. I upgraded to Pro Pride 3P Hitch. It has made a huge difference in how the trailer behaves.
I do a lot of festival camping where a 15 amp service is all that's available. To avoid lots of issues (breakers tripping) I do the following: The air conditioner stays off. Keep the refrigerator and water heater on propane. Limit the use of the microwave, coffee pot, electric skillet or griddle and let's not forget hair dryers and curling irons to one at a time.
Additional extension cords are usually necessary. A 10 gage cord is best and a 12 gage is acceptable.
I had a similar problem. The issue was a dirty gas orifice. Pulled furnace out and disassembled. Cleaned the burner while it was out and removed the gas line from the control valve. Used some spray carburetor cleaner followed by compressed air. Great heat now.
The cover is for use with a Dutch Oven. Works great in windy conditions. I bought mine mainly for use with my DO's. The propane burner is great for use with large pots. I've had mine for 3 years now, very satisfied.