Why do they use those particular skinfold sites?
I do not know why each particular skinfold site is used, however, I know that there have been other sites used previously that are no longer in vogue. Earlier research would have used a greater number of sites, and this number would have been whittled down till they found the current sites (up to 7) which give the best correlation when compared to the original criterion measure of bodyfat measurement, hydrostatic weighing. There is a compromise between having a small number of sites to measure (and less chance of an error being made), with a large number of sites which would give an overall measure of the distribution of bodyfat (as this varies widely between individuals).