Normal track days, YOU are responsible for ensuring your car is track worthy.
Events like Time Attacks, they will check for leaks (fuel/oil), brake pedal feel, brake lights working, steering slackness, no loose items outside car, no loose items inside car (empty glove box etc) ... and of course, long sleeves, pants, good shoes, and of course a lid.
BTW after last weekend, my Bridgestones got a hell of a workout ... might need new rubber soon myself