The Rush is a blast to drive and generally maintenance free at the track if you take care of it. You can start with a few basics and expand based on your experience. Absolutely essential are lubricating your chain and pressurizing your shocks.
I keep the majority of tools I use on the Rush in my trailer so I take a lot more than typically needed. Difficult to separate down to essentials but maintenance I've had to do, or seen fellow drivers do on race weekends provides a guide. How much work you're willing to do at the track and how aggressively you drive influence what you'll want with you.
Track work includes adjusting tire inflation, shock pressurization, lubricating the chain, bleeding brakes, cleaning the car after offs, topping off the radiator, changing brake pads and replacing rear camber bolts. I've also seen a starter motor replaced but don't remember the tools required for that. I haven't had to replace mine, even after many spins. I've replaced a chain but chose not to do that at the track. Others had to replace their front bumper after an off. I remember the splitter surviving.
Basic consumable include chain lube, chain cleaner, distilled water, brake fluid, brake pads, car and hand cleaner and lots of shop towels, rear camber bolts and chain with master link. I carry more spares but that's what I consider minimum.
Tools to do the work include a tire inflator, tire pressure gauge, shock pump, radiator fill kit, metric hex wrench set, metric wrench set, brake piston compressor, vacuum, brake bleeding kit and chain breaker kit. I like needle nose pliers to remove hairpins when changing brake pads.