is Facebook really able to track me
Oh yes. The "like" buttons on websites are also used for tracking people, so any website that is Facebook-enabled will know who you are. Additionally, browser fingerprinting makes it difficult to stay anonymous, even without an account.
More or less, it's the worst-case scenario. Governments of many countries have sued and fined the crap out of them for obtaining data in a way that is illegal. But they make so much money with that data that they almost ignore the concern.