Can people with normal skin get acne?

I'm 14 and had perfectly clear skin up until a couple months ago where I started getting pretty bad acne, not cystic or anything but a lot of small red bumps mostly on my forehead, some on my cheeks and also little colorless bumps on my forehead and some on my cheeks. What are these bumps? And how do I get rid of them? I thought they might be from makeup since I occasionally wear bb cream to try and cover my pimples. I'm so self conscious about it, do you have any tips for getting rid of mild acne (it's getting worse)? And my question, can people with normal skin get acne like this? My skin is not oily or dry, so what could be the cause of all my acne? Thanks so much