Not a lot of "bullying" per se, because of the cliques which people never extend out of. With kids who openly look sad and alone though, like they've been made fun of or don't have their own little clique, they're not noticed really. It's high school, man. However, I hear "Caps Camp" can help you make friends before the school year, although I never went.
I've never seen any administration my entire time there except when I came to the office, and as I've said before the only people who care are the few teachers, but most don't. This school is also highly known for its cliques, which wasn't a big problem when I was a student, but it definitely means nobody is reaching out outside of their group.
Some are, some aren't. You can really get away with doing a poor job as a teacher, so you'll definitely know when you get someone who cares or not. It's about 50/50, but that's not the way it should be.
This really depends on the teacher. Some really care and provide good assignments that prepare you for the upcoming tests and next class, others give little to no homework, and all the in class work is just obvious busywork. Mostly, homework is nonexistent and if you don't do it most teachers either don't find out or don't care. I really appreciated the few that cared to present assignments that helped me out and didn't half ass their job.
It surely depends on the choice of classes. My junior has had very challenging classes all the years and is working herself to death although she is a very bright kid. There is so much stupid busy work. But this is not the schools fault. This is part of the curriculum, part of the system of "learning by repetition".