I'm not sure what's a good set of diff oils for the PCR Pro, but a common place to start is (5K/7K/1k) (front/center/rear). Maybe you can find a setup sheet from one of the OFNA drivers or something.
The kit will come with a flywheel and clutch this is the standard. If you want to upgrade, you could check out the Mugen clutch it comes with aluminum shoes and a lot of guys run that setup in non-Mugen buggys. You just have to careful about the flywheel diameter.
You do have two servos right? A good set of servos is the Airtronics 94358 for steering and the 94357 for throttle/brake. I donno what the spec are on the 9435pZ. It may be good for one of those applications.
Other parts you'll need are fuel filter, air filter oil (I think the kit would come with at least one inner foam). Some people might say you need a temp gun, but I find mine kind of useless these days. Oh yeah, did you buy a starter box, battery and a charger? Another thing you can get is a hump pack rechargable battery pack for your receiver. It's not 100% needed as you will probably be able to fit AA's in the battery box, but it's something to think about.
I'm not sure on the tires, but I think there is a good chance the kit comes with them.
I don't have a PRC Pro so maybe some other folks in the forum can help you with the specifics on what other upgrades and mods you might need.