The Tekonsha Primus IQ Trailer Brake Controller # TK90160 referenced in your question uses 10 gauge wire for the 12V (black) and brake output (blue) wires and 12 gauge wire for the brake switch (red) and ground (white) wires. This is the case with all Tekonsha brand brake controllers. view full answer...
The SnapRing TireSavers Tire Covers # ST7002WH that you referenced do not come with carry cases nor are they available as a separate item, but if you have an extra duffel bag laying around they'd easily fit in there.
I attached a review video link for these for you to check out as well. view full answer...
The Furrion Chill HE Replacement RV Air Conditioner for Coleman Setup part # FR82PV is simply an overhead unit, it does not come with a distribution box or thermostat/controller. It will reuse the existing distribution box and thermostat/controller that came with the old Coleman unit this kit is designed to replace. If you don't have an old unit to replace or there are faulty parts on your old unit you'd have to obtain the kit which comes with these, the Furrion Chill HE RV Air Conditioner... view full answer...
If the control board is faulty on your Coleman Mach 8 RV Air Conditioner then I recommend a full replacement which will replace the the overhead unit, distribution box, and thermostat. I recommend the Furrion Chill HE RV Air Conditioner System - Single Zone - 15,000 Btu - Black # FR23PV for 15,500 Btu or part # FR55PV for 15,000 Btu. view full answer...