AHA and BHA is really not something i would recommend for acne treatment, though i highly recommend for textured skin, sebum control and exfoliation.
If it's acne, i recommed Salicylic acid, azelaic or retinol.
They're more effective for acne treatment and they hasten skin turnover to bring out the gunk under your skin to the surface, so they can heal faster.
From my experience with closed comedones, i find salysilic acid and retinol to be the most effective but i experienced purging with the retinol so you may want to take this to account.
Here's a table for treatment on every skin concern.
*credit to the owner of the photo.