Ah, where to begin?
You have only recently become a grown-up. You are breaking away from your parents, as nearly everyone does. But your parents are concerned about that, and don't want you to make bad choices. This is also perfectly normal. And, of course your parents have controlled your life! Until you were 18, they were absolutely responsible for you! And then, afterwards, you were living under their roof, so you were living under their rules. Hate to break this to you, but he (or she) who pays the rent or mortgage is the one who gets to set the household rules.
They did not let you work until recently because they wanted you to finish school. Yeah, that's really horrible - that they actually cared enough about your education to urge you to finish it without distractions. Check this site out:
http://www.martin.fl.us/EDUC/uf/money_mgt/HE7017.html It was written in 1991 but it still holds true (scroll down to the table in about the middle of the page) - people who drop out of High School make lousy money, and graduates do better. People with college - any college - do even better, when it comes to the amount of discretionary income they have. Discretionary income means you have more money than your necessities - you can save for children or clothes or a house or car. And, an education means that you don't have to be dependent upon a man to be able to feed yourself.
As for Driving School, I went to Driving School when I was getting my license, and it turned out to be a good idea. For one thing, your state might give an insurance discount if you complete a defensive driving course. In that way, you'll earn most if not all of the $200 back. As for going to school with 16-year-olds, you may be surprised. There are plenty of people who are older who are getting their license for the first time, plus there are immigrants who are retaking licensing tests because they have to be able to show that they can read street signs in English. You may very well find that you are the youngest person in your class. Your parents are under no obligation to teach you to drive. You can also, by the way, ask your fiancé to teach you to drive.
The paperwork and the discharge papers may or may not be meaningful but, really, why do you and he feel the need to provide documentation? If his and your word is not good enough for your folks, did you ever stop to think of why this might be the case? Is there a reason for your parents to not trust your judgment? Is there a reason for them to not trust your fiancé's judgment? Be honest with yourself. And, if there really and truly is no reason, tell your folks. Give them assurances that your and your fiancé's words are to be trusted. And then back up your assertions with acts - if you promise to do things, follow through on them. If you are people of your word, reasonable people (believe it or not, your parents might actually be reasonable people) will have a hard time not trusting you.
And, ask yourself, honestly, if they might be just a little bit right about your fiancé. We don't know a lot about you from your post, so you'll have to supply the answers to these questions to yourself - are you doing the things you did before you and he met, or does he keep you from doing things that you like? Does he keep you from seeing your friends or family? Does he push you to choose between himself and your parents? You need not tell us - tell yourself the answers. And, again, be honest. Try to look at the relationship from the outside, with unemotional detachment.
As for your fiancé and your father - your fiancé said he would come over, and then he didn't, right? Isn't that the crux of it? So, essentially, what your father sees is that your fiancé was inconsiderate or at least unreliable. After all, it's just common courtesy. If you say you are coming over, and you don't, that's not very nice, no matter what the circumstances are that are surrounding the visit. At the very least, a courtesy phone call would have been appropriate.
One thing that may be freaking your folks out is the fact that this all seems very sudden. Is it? How well do you know this fellow? A year? Six months? Five years?
It looks, from here, like your parents care about you a great deal. But sometimes when parents meet a guy who they don't like who is dating their daughter, a vicious cycle can start. Daughter brings home boyfriend, parents don't like boyfriend, so daughter doesn't see parents as often as before. Then parents badmouth boyfriend when the daughter does call or come to see them so, in order to not feel that her choices are being denigrated, daughter stays away even more. And it all gets wrapped up in breaking away and growing up, and the split gets bigger. And, eventually, someone turns out to be right in the equation - possibly the daughter and possibly the parents - but in the meantime the relationship becomes damaged.
Try not to get on that merry-go-round if you can at all help it. You don't need to fall into the fighting trap. If it's true, show your folks that they have nothing to worry about. And, if their concerns are possibly founded, don't just dismiss their words because the words are coming from your parents' mouths. That doesn't mean they are any less true or valid.