I'm not sure what "tiny" means (less than a millimeter?). Probably sebaceous cysts, i.e. normal anatomic variant.
Another possibility may be molluscum contagiosum; the locations you describe and brisk bleeding when the lesions are removed are typical for that condition. Molluscum is an STD (but a trivial one); the possibility would rise if the lesions are shiny and pink and if some spots have a dimple in the middle.
If the spots persist and especially if they grow, see a health care provider and get it checked out.
Good luck-- HHH, MD