I highly recommend reading this book before going for the first time.
Mojave Road Guide
Use the book to plan your trip and your stops. Carry it with you on the trail as a reference.
I like to do the trail in 3 days, stop at many of the sites, relax and enjoy the scenery and the 2 nights of camping.
It's about 140 miles, depending on where exactly you start and end, and what side trips you take. Add about another 10 miles to go from gas station to gas station. Gas/food is available along the way if you're willing to take a bit of a side trip to get it, but I prefer instead to bring an extra 5 gallons of gasoline and more than enough food/water for the entire trip.
I would recommend not going alone. The trail is easy, any stock Jeep can do it, but you'll be deep in the middle of nowhere, and breakdowns can happen anytime. The last two times I did this trail, someone had battery problems. I've heard of others overheating along the way.
In addition to the stuff you listed, bring extra fluids for the Jeep (coolant, engine oil, etc.) and extra gasoline. If you have an extra battery, bring that too. Catholes are no longer allowed in the Mojave National Preserve, so portable toilets and wag bags are required. And if you happen to have a group of more than 6 vehicles or 14 people, you'll need to get a special use permit.