Hello ..thanks for your query.
The smaller pimples you describe may be whiteheads.this happens due to a sticky keratinous plug blocking the glands in skin.This in turn gets infected and gives rise to bigger or pustular acne
You can visit a dermatologist
to undergo an extraction of the comedones.This is usually accomplished in a single sitting and repeated as and when required.
A topical retinoid
may be added to your regimen to reduce the occurrence of comedones.
Do not use thick/occlusive creams and cosmetics on face. Wash your face with Salicylic acid
containing face wash twice daily.
Hope this is helpful