1. Yes, but schools can be incredibly bad. They are largely funded by local taxes and tend to be playgrounds for lunatic educational theories of both right and left. You need a big dose of luck to ride this train.
2. Assuming you can get the grades, without a library, internet, or a stable home life, sure. And that you can navigate the fafsa and the rest of the college bureaucracy, potentially without parental help (and god help you if you have an uncooperative parent and cant get the data).
3. Sure, assuming your home life is stable enough to keep you out of this. Harder if mom or dad is already neck deep in weed, meth, or opioids.
4. Sure, if we are talking about shoplifting or larceny. But a teen can be pulled over for riding in a car on the flimsiest of reasons, and if the cop doesnt like you, you can easily get sucked into the maw of the justice system. I think we've all seen enough video of police acting badly to know that things can easily go badly wrong in a heartbeat.
5. Yes, except that not every plan covers it, and sometimes it fails, and it is becoming increasingly hard to get a plan B, like literal plan B or abortion. Plus we may have higher rates of sexual crime.
All the things you say are correct, but the reality of being poor in America is much, much uglier than straightforward theory suggests.