if acne, maybe is because of sensitive skin.

Buy brand with range to control the sensitive first, the black spot make it after.

You may try skinfood's tea tree, which can control oil, reduce pores. Consult from the promoter for more information. It helps a lot of my friends with sensitive skin also.

However, some ppl dont like the smell. It would better if you bring your gf along. Anyway, try to reduce make up as well, because makeup will block the pores and cause acne.

Hope this can help you.

Anyway, your budget is way too high. For skin food range, whole set included cleanser, cleansing milk, moisturizer, toner, serum.. doesnt cost you much either.