My mother won't let me use any skin products.?

She says "Just eat your vegetables, exercise, and wash your face." Well, easy for her to say since she had no hormones until 16! She almost never had any pimples, acne, blackheads! I'm so jealous, except for the fact that she has a small chest. I am different from her, I get pimples, yet I am still fit. She won't let me use any products to reduce the pimples(I don't have a lot, but it irritates me so much just to have 2 or more) What can I use at home? I've already tried tooth paste, the actual paste, and I have used antibiotic cream like neosporin. Those don't really work for me. Anything stronger than those? My skin isn't very sensitive and I can endure pain. Also, when my mom's not around if I'm at target or CVS, are there any strong products you would recommend? I really don't care if she wants me to have bad skin.

It's only like one or two pimples, but they won't react to anything they aren't bulgy, but they are already broken and look like small wounds. No pus. Red.