If your car is in good mechanical condition, you should not expect to experience any mechanical problems. However, this is a high-performance moving-vehicle event, and as such carries some degree of risk.

With respect to insurance coverage in the event of a collision, as of 2006 most insurance policies have a blanket exclusion for track events.  The intent of this school is to teach technique and experiences that are transferable to the real world — this is not a race school.  As such, the organizers ensure certain conditions are in place to minimize risk and to avoid consciously negating insurance coverage for participants, such as: allowing only controlled passing, prohibiting timing equipment, and prohibiting  wheel-to-wheel competition.

Proper insurance coverage for your vehicle is entirely your responsibility.  Neither the School nor its instructors carry insurance on your vehicle ... the only potential coverage is under your existing policy.  If in doubt, verify with your insurer beforehand that you have the appropriate level of coverage in effect.  Be warned that some insurers will cancel your policy if you tell them that you participate in any kind of event that takes place at any motorsports facility, whether a driving school or not.