My list....maybe some of it applies
Well, we full-time our 2021 377RLBH, so we're probably a bit more laden with "stuff" than you want/need to be for shorter multi-week trips, but it shouldn't be too much different...just less of it maybe.
*You're already on top of your tire issue, but do yourself a favor and get a TPMS system. My tow rig is a 2016 F350 w/o factory TPMS, so my aftermarket system monitors all 10 tires for me.
*It helps to have at least a rear camera. I find it more useful to monitor tailgaters in traffic than on-site backing up (that's what my wife's for).
*Do not put heavy objects in the shelves over the rear couch and over the TV. These shelves are notorious for not withstanding the bouncing of the road (some have experienced them coming down), and heavy stuff up there only increased the chance.
*And speaking of heavy stuff, leave the good china at home. We made the mistake of bringing along some nice plates and pasta bowls...the "bounce" has claimed the lives of a few already. No shame in paper plates.
*If you think you've secured it well enough, you probably haven't. Do yourself a favor and secure your stuff for the ride like you're securing it for a hurricane. And always get eyes on the floor before putting the slides out...the smallest little thing could jam you up.
*Go to the craft store and get yourself some double-sided Velcro. Use it around the handles of the cabinets over the rear couch, over the TV, refrigerator doors, etc.
*Make sure everything in the refrigerator is lying down, wedged in place or otherwise secured from moving around. And this applies to the outside refrigerator as well, which should be turned off when traveling.
*If you have a glass plate in your microwave, take it out and store it before travel. It's heavy and easily becomes a projectile. On our first trip, ours shifted and ended up landing in the sink!
*If you have "wet bolts" on your suspension leaf springs, make sure you get them greased well.
*Periodically check torque on all the bolts for your hitch, and the bolts holding your leveling jacks to the frame.
*Don't rush...anything! My mantra is no more than 5-6 hours on the road per day, and I try not to hook up in the AM or set up in the PM in the dark. And get comfortable with 65mph as your max...let the rest of the world pass you by if they must.
*Don't forget your water pressure regulator, your shore power surge protector and various male<-->female converting pigtails so you're ready for anything, 30A or 50A.
*If you have the basement 5gal freshwater set-up, throw yourslef a couple jugs on the rig before setting out...no promise that a rural market will have the large jug exchange.
*We never travel with a full freshwater tank (my personal opinion is that's too much weight to be bouncing around aft of the tires), but do yourself a favor and throw 10-15gals in. It's nice to be able to pull over and use your own potty if a rest stop isn't in your near future, and with a little water on board you can flush and wash up.
*Blinds in the up position before pulling out.
*Make sure the LP tanks are full.
*If you're tow'n with a diesel, get signed up with a fuel discount program. Ther's a few of them, but we find that "Open Roads" gives us the most savings...as much as $.70/gal off. And if you are tow'n with a diesel, always have 1-2 jugs of DEF with you in case you can't find it at the pump. You'll burn wwwaaaaayyyyy more DEF tow'n than you will just tool'n around town in your truck, unhitched.
*Have a good tool kit. Granted, I haul a whole workshop with me because of full-timing, but you want the essentials...unless you like pay'n the RV repairman; (ASE and metric sockets set [3/8" and 1/2" drive, both shallow and deep well sockets], a 1/2" drive breaker bar [for potential tire change], ASE and metric wrenches and allen keys, a 10ton bottle jack, screw drivers, pliers, cordless drill and bits, wire zip ties of multiple lengths, bungee cords of multiple lengths, a cordless yard blower and/or rake, and any "sit'n round the fire pit niceties" you prefer (rug, chairs, collapsable table,etc.).
*A lot of people take this for granted, but always switch your lights "ON" when towing. The circuit for the trailer marker lights is in conjunction with your truck lights, and if you've got your truck lights set to auto and they turn off, so do the lights on your trailer. And in most rigs, the power for your rear trailer camera comes from that same circuit, and won't work if your truck lights aren't on.
I could go on and on, and I'm sure you are already aware of the stuff I just listed, but just in case you're not....safe travels.