As for the rest I appreciate planning, but you are vastly overthinking this trip.
You don’t need most of the gear you have listed. My in-laws make the same journey you plan to on a regular basis as far as Missouri. They’re two of the least well prepared individuals I have ever met and neither one of them have an ounce of common sense. They have yet to die of exposure, starvation, or thirst.
At no point on your planned route will you be at risk of running out of fuel from one gas station to another unless your fuel gauge is defective or your ability to read it is defective. So ditch the Jerry cans, they cost money, take up space, and will leave your car smelling like gas inside. Just don’t. My in-laws were recently in the habit of towing a camper all the way with a 1/2 ton pickup getting maybe 200 miles per tank of fuel. Your car or SUV will have more fuel range than that. Again no need for Jerry cans.
You only need stuff appropriate for the time of year you’re traveling. So appropriate outerwear and footwear, winter vs summer this is very different. Winter travels you’re well served to have more stuff to keep you warm if you get stuck and some gear to maybe get you un-stuck. Otherwise a decent jacket, hat of your choice, sunglasses, etc is fine.
Change your oil, and oil filter. Make sure the tires including your spare are in good shape. Check your coolant reservoir, and brake fluid reservoir. Top them up if needed. If you feel the need treat it to a new air filter.
This might be a good time to put brand new tires on, especially if you are doing this in the winter. Maybe buy some dedicated winter tires. I have a set of Michelin X-Ice Snow truck/SUV winters on a second set of wheels and they are astoundingly good in winter weather on a Toyota Land Cruiser. If there is any one thing you can do regardless of the season to make your trip uneventful it is to make sure your tires are in good shape and up to the task. Look around next time you’re on the highway, and see what the number one cause of vehicles on the side of the road is. It’s flat tires, tires that have blown up, or in winter tires that don’t get adequate traction. Tires, tires, tires.
Aside from that just get stuff that makes driving more enjoyable. Someone mentioned a cooler for cold beverages, that is a great idea. Get some podcasts or audio books to listen to. Get comfortable using the vehicle infotainment system. Make sure it detailed inside and out because spending 8 hours a day driving a dirty vehicle sucks, particularly the interior side of the glass.
Otherwise have as much fun as you can under the circumstances.