It can be due to syringomas. Without examination it is very difficult to confirm a diagnosis, but it can be solar keratosis (small rough or scaly areas of skin due to damage from sun exposure), Dermatosis papulosa nigra (firm, smooth, raised, dark brown to black bumps occur on the face and upper trunk;usually runs in families) , seborrheis keratosis (small lumps due to a thickening of an area of the top skin layer) ,syringoma (bumps caused due to overgrowth of cells),moles or freckles.
I sincerely advise you consult a dermatologist and get the diagnosis confirmed. Mode of treatment for all is entirely different. Chemical peel helps in their treatment but for that diagnosis has to be confirmed first.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your dermatologist. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.