I assume that your Jamboree has a built-in generator? If so, you might want to include a 120V AC full pressure, but compact, compressor in your tool kit. We have one tucked away into a corner of our largest outside storage cabinet. I even use it at home for airing up the RV's tires before each trip.
Also since you have a spare, you might want to carry just-in-case tire changing tools along. My RV's tool collection includes a two-stage high-lift (about 19 inches, total) 12-ton hydraulic jack and some boards to keep it from sinking into a soft surface.
Of course, I also carry spare engine oil, spare generator oil, and spare transmission oil along. You may have to carry along a long-flexible-neck funnel should you ever have to add more fluid to the transmission.
Here are some of the other perhaps odd-ball items my RV's just-in-case provision stock includes:
- A small very-quiet portable generator for battery charging and in case all batteries should ever all-at-the-same-time be too flat to start either the built-in generator or the main engine battery.
- A remote inspection light in case something fails inside cabinet nooks and crannies where I can't directly see.
- A magnetic retrieval tool in case I drop some critical screw down a place where I can't reach.
- Spare ignitors for your propane water heater and propane refrigerator.
- A spare water pump rotor chamber (ideal would be a whole spare water pump).
- A small electric heater for hookup heating and drycamp generator electric heating in case the propane system should fail.
- A small sewer plunger in case the galley or bathroom sinks should clog.
- Crutches in case an ankle should get sprained.
- Electric and chemical mosquito repellants for sitting outside in the summer.
- A high air-volume low-battery drain fan, and 12 volt extension cord for it, to use for inside cooling in moderate heat and outside cooling when sitting under the awning or at a picnic table in high heat.
- Extra long black tank emptying hose.
- Extra long fresh potable water wind-up-reel hoses.
- 50 foot heavy gage extension cord to power the RV a long distance away from only 20 amp service.
- Adapters to plug our 30 amp RV's cord into either 20 amp service or 50 amp service if that's all that is available.
- Two sets of spare keys ... one set so I can keep the engine running while locking the outside storage cabinets and one set concealed outside in case I should ever get locked out.
- Long range cellular tower access equipment (roof antenna and amplifier) for phone calls from somewhat remote camping areas.
- Five sets of home made wooden step-blocks for a worst-case leveling situation requiring lifting of three of the RV's corners. These blocks can also be used to support the high lift jack or put under tires if ever stuck.
- A full size long-handled shovel.
- A full size beach umbrella.
- A camping hand saw capable of (slowly) cutting up to about a 12 inch diameter limb that may block the road.
- A hand pruner for low hanging limbs around small, out-of-the-way campsites.
- A full size spare tire kept maintained at the highest pressure (80 lbs.) required by the RV (65 PSI front, 80 PSI rear).
- And last but not least, a spare engine serpentine belt ... as failure of this item can leave you completely stranded and it is possible to install it yourself (or by an ERS technicion) out on the open road.
Many of the odd-ball items above are because we like to be ready for a variety of camping situations regardless of our trip planning and because we do sometimes camp somewhat remotely off the highway at camping spots along gravel or dirt roads.
Good luck with your new rig. It sounds like you're really enjoying it!