While drawing blood, my vein blew. It is now bruised and has tiny red/purple dots all over the spot. (Size of pen point or smaller) r the dots normal?

Normal healing. Hello Theresa, When a vein "blows" there is bleeding under the skin. During the natural healing process the blood is cleared little by little. The dots may be a part of healing or a tight tourniquet. This is a very common occurrence. Do not be afraid. After awhile you will not be able to tell where the blood was drawn.