Thanks for the query.
These are possibly comedones and removing them with nails may cause a problem, you need to find why are they happening and it can be done easily by consulting a dermatologist. Salicylic acid based face washes and chemical peels helps though its a maintenance plan.
Kindly consult a dermatologist for precise treatment plan. Targeting through a single agent may not always be fruitful. Meet a qualified Dermatologist to learn more about the diagnosis and treatment options. Combination of different therapeutic agents is always beneficia