Kimberly, welcome. Some people try to be funny in their responses.. Don't take everything at face value.
Simple extraction for the dental work, you'll be fine in a couple of days as long as you are no longer taking pain meds or have pain.
As for the 5 yr medical, yes.. The medical is good for 5 yrs because of the age, but it is not always a class I. The activity described, as "private/student pilot" only require a class III which is what the class I reverts to after after 1 yr.
A class I is good for 6 months, then it is good for class II for the next 6 months, and then it is good for a class III. Each level of pilot qualification requires a different class medical. An airline pilot needs a class I, and gets a physical every 6 months to maintain it. A commercial pilot needs a class II, good for a year, a student or private pilot needs a class III, good for 2 yrs or 5 yrs, depending on the pilots age.
Hope that helps... And again. Welcome.