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 can work well for you and chemical peels in multiple sessions can also be considered. Kindly consult a dermatologist for precise treatment plan
Next Steps
A good skin care regimen comprises 4 steps - cleansing, toning, moisturizing and sunblock.
Health Tips
You can consult me online for personal recommendations.