What is the best remedy for white heads on the nose and cheek (near the eyes). Good medicine or home remedy? Is better?

Cleanser. I would start with a gentle cleanser like cetaphil. Use that daily for a month and see if you notice an improvement. After that i might try an over the counter cream which contains a drug called benzoyl peroxide. If those things do not work then discuss with your doctor. Sometimes prescription creams or even oral medications can help.