I've done a couple of track days at Goodwood in my 3200, I haven't had any issues with brakes or tyres. The best advice I had was when new to it especially, only floor it when in a straight line, getting the back end out won't be difficult and you become quite unpopular if you cause the session to be paused (and no, I haven't done it myself ;o))
Even though he slowed me down to start with, taking the instructor out is the best thing you can do if there's one available. He'll just tell you the turn in points and braking zones, the local advice like that makes the rest of your time so much more valuable and much kinder on the car, as well as your shoulders and arms. If you start to ache, you're doing something wrong, but it happens if you're taking the wrong lines and going in too quick. Cliché, but slow in fast out is the best possible advice.
As it's your car, you'll be surprised how quickly you can go, while feeling pretty safe. The best thing is the surface and the fact there'll be no one coming the other way.
It's the best fun you can have with your clothes on!