I was going to respond that it could be Moluscum as well. My 10 y.o. son had it on his back last summer and it was treated w/freezing like warts. Doc also prescribed a topical treatment; not sure if it was preventative or for healing process as we had to return for about 3 more treatments.
My son had the white spots on his face about 4 yrs ago, the derm' at the time treated him for acne (at 6???). He was a quack anyway. when I researched the moluscum, the photos were of the face, but I don't know if the freezing is good for the face since it does leave scars. The new derm who did above mentioned treatment is FAB!! He's in the Clear Lake area and I'd be happy to make a recommend'. We've used another inside the loop (2 offices). He used to be at Texas Children's. I loved him as well, but the location is inconvenient. Feel free to PM me for the name of both.