Your experience is with teen sex is part of the picture. The guy that is dating your daughter may be interested in only one thing, what he gets out of sex. I am sorry if you didn't think having and driving your own cars wasn't a big deal as a young teen but your desire not to drive underage was a good thing. It kept you safe even though you didn't know any better. In the case of ME's handing out the pill, it is one thing for you as a young teen not to have the opportunity, but the situation might have been different for you if you had an adult facilitating your desires. The same is true for driving. If you don't give them keys, it makes yielding to the temptation of driving more difficult. But let's go with your plan. By supplying birth control, the school removes most of the worry of pregnancy. This is turn encourages more sex by removing more than one inhibition (If I am given contraception, don't they expect me to use it as well as fear of pregnancy). In middle school infatuations with a new person is weekly. At that age they are madly in love with someone new constantly. This results in multiple sex partners which in turn results in transmission of STD's some of which are fatal.
Your logic concerning already having the car is flawed. It is not having the car that is the problem, it is using it before you should. There is a story about a guy who was before the judge charged with making moonshine. He pleaded not guilty. The judge pointed out he was found with all the necessary moonshine equipment. At that point the guy told the judge he wanted to plead guilty to the crime of rape. The judge told him that was a very serious charge and did he understand what it meant. The guy replied that he had all the necessary equipment for it.
"I just believe denial of education and access to birth control is the surest route to #3."
Wrong. #2 and part of #1 is the surest route to #3. They used to hand out condoms in schools but found that they were either not being used or being used improperly. If you assume #2 how does that prevent #3?