Replying since you sent me a PM. If you have zero track expreience, go on Primacy's. You will learn more on Primacy's than any other tire since they squeal loudly at the limit of adhesion and are easy to recover.
They are not as slow as people make them out to be. Probably 5-7 seconds behind a new RS3 and 3-5 seconds behind a new PSS. Unless you have a lot of experience racing something else, they'll be all you can handle for your first couple of days. Then go with something like an AD08R or RE11. R-S3 probably not a great choice for you since yes they are faster but they heat cycle out quicker and they don't give as good feedback.
I'm not impressed with PSS. They're good DD tires but they heat cycle out by half tread like R-S3's. And, they're peaky in the wet (read- good traction until they break away and then tougher to recover than say, an AD08R or older PS2).
BFG Rivals are good and will make you feel like a hero since they offer grip and perform over a wide range of slip angles, but they won't teach you that much since their traction is available over a wide grip range. Mike and I don't really like these tires that much
Once you smoke your Primacy's, it's worth spending the money on the Advans IMO, they last longer than the R-S3's and have much better wet performance- actually a streetable tire. Very sharp response and good breakaway characteristics. RE-11A's would be a good choice as well.