Back of hand red specks like rash. Doesn't itch or hurt. Looks as if I had scratched it but I haven't. Kind of travels up my wrist a bit.?

See a Dermatologist. Skin disorders need to be seen. If it travels fast, go fast to the dr.
Uncertain. This rash would likely need to be examined and more history obtained to be able to provide you with useful input about the diagnosis or possible treatment.