Do you pay extra for parking?

Yeah

With the Annual Pass you don't need to pay for parking, but if you have the Fun Card or any other ticket you will need to pay for parking, I am not sure for Adventure Island but for Busch Gardens general parking is $20.

Yes only if you have the fun pass it's no extra charges.

Yes if you dont have the fun pass. If you have the fun pass you don't pay because is including.

If you have day pass yes ...im have year pass and the parking. Is free