I never took any of those kinds of classes in highschool. In fact, I left highschool at a pretty low math level. I decided to go back to school for engineering about 6 years later, spent a few semesters at my local CC getting all my math prereqs down (you really can't take any engineering or required physics courses until you're at least at calc 1 level), and went from there. Now I'm one week away from finishing DiffEq and have the first couple of semesters or my engineering programs courses done and I did great in all of them.
Moral of the story; I went into it knowing even less than you did and I am doing excellent in the program. Aside from the fact that you have to be at a certain math level to even start an engineering program, what you did in highschool has NOTHING to do with how you will do in college classes.
The only thing they will expect you to know is stuff from required prerequisites. So when you go into Engineering Physics 1, they are going to assume you don't know jack about physics, but they'll expect you to know Calc (whether you took it in highschool or college) since it is a prerequisite to the class (at least it was at my school). I don't remember a damned thing from highschool physics or chemistry, but I did extremely well in those classes once I got to college. You'll be fine, college is where you learn all the stuff, not highschool.