A voltmeter is a good diagnostic tool to carry with you for use on 12 & 120 volts. Available at Harbor Freight for a whole $6.39. No one can afford not to have one...
A ratchet wrench and socket to fit the top of the jack is another good tool to have. In fact, a complete socket set is something you should really have. Another can't afford not to have thing, starting at just $11.99 at HF. The top of our jack takes a 1/2" socket.
A few years ago, our converter and battery died at the same time on a long road trip. You just never know what will happen sometimes and suddenly 12 volt things won't work. It only takes a few days or less for batteries to get drained due to the parasitic loads like fridge circuit board & radio which are always on.
The co/propane alarm should beep when a battery gets low, but if completely dead won't of course. Hopefully all you need is a charge.