It's recommended to prepare a trackday in advance in order to avoid bad surprises. A trackday is supposed to be a fun event, so there are some rules that should be followed to keep it fun.
It all comes down to the car you'll be driving. A daily-driver isn't primarily meant to be used on a racetrack. Track-driving is so hard on all the components that most of the manufacturers do not include it in their specifications. Nevertheless, some brands (Porsche, Renault Sport,...) do take that into account for certain models of their range, giving themself a performance and endurance image.
So you should first define in which category your car is: daily-driver, sportscar or race-car.
In any case, it's a good idea to check the car before and after the trackday, whatever its category.
At least, your car should be in a good state (especially tyres and brakes). Although it's tempting to use not-so-fresh components ("I'll just finish those old tyres"), it's not recommended. Consequences might be bad.
Keep in mind that track-driving is hard on the parts and that temeratures get much high than what they'd be on the road. This means that especially tyres and brake pads will wear quickly, which is why it's important to keep an eye on them after every event. Also keep in mind that you'll probably have to drive back home after the event... Having worn out tyres might get you a fine or even be plain dangerous (aquaplaning). Worn-out brake pads - besides badly impacting brake performance - might damage your brake disks and add some expenses.
Think about check the engine oil-level too. The lateral forces you'll encounter on the track are much higher than on the road. So it's important to have enough oil, but without overdoing it and adding too much.