Is there a lemon law in Florida?

Also, do you have to pay taxes on your car each year, or do you have to get an inspection every year?

No you do not pay taxes on your car every year, you do pay tax on the tag and registration when due. You do have to pay tax when you bring a car from out of state and register it for the first time in Florida. Expect about 200-300 dollars. There are no vehicle inspections, but that may change in the near future.

Florida lemon law

http://www.law.ufl.edu/lic/guides/florida/lemon-law.pdf