Here's another vote for the ReadyBrute Elite tow bar, that comes with braking system built into it already. Much cheaper than buying a tow bar and separate braking system, and provides a very simple, reliable brake for your Jeep.
Jeep Wranglers are one of the most simple and easiest to flat tow, both in initial setup and actual towing. Sooo, you definitely are choosing a great vehicle for it. I've towed several different vehicles, including a Jeep Wrangler presently, and the Jeep has definitely been the most simple and easiest to set up of all of them.
As to issues: As already mentioned, you'll have to figure out a way to wire up your tail lights to the Motorhome. There's several ways to accomplish that - You can install and wire in separate bulbs in your taillight housings, or use one of many wiring kits available to wire in and use existing lights, or you can install separate 'magnetic' lights you put on just while towing.
Some Jeeps can be susceptible to the dreaded 'death wobble' when flat towing. You can minimize the risk of that, by making sure your tow bar setup is correct (tow bar level or somewhat lower on Jeep side, etc), and making sure the Jeep's front suspension is maintained properly. Worn front suspension parts can cause the death wobble.
Only other issue you'll have with the Jeep: You may find out why Jeep stands for 'Just Empty Every Pocket', hahaha. Sooo many cool things you can do with them, very easy to spend a lot of $$ on them. Very fun vehicle, though, and one of the best there is for flat towing.
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Will and Cheryl
2021 Newmar Baystar 3014 on F53 (7.3 V8) Chassis ("Brook")
2018 Jeep Wrangler JK ("Wilbur")