Are these holes caused by termites?
Are those in a wall, I think they look like small holes like tacks, or push pins I guess my grand kids even have posters on the ceiling not only walls. 

I have seen a lot of termite and carpenter ant damage and it is in wood not Sheetrock or plaster. 

I sometimes use the small steel pins that have brass hooks . 

OOK has 1 pin to 4 pin hooks in the style I think may have made these holes but I do not think they were made by pests. Or any kind of water damage.