Red pin point dots on my stomach?

Most likely nothing: Most red pin point dots as you describe are small blood vessel variations called capillary hemangiomas. Most are congenital, although some can develop over time. Some blood vessel problems can represent serious changes but present as different than described, and can have easy bruising or bleeding. No emergency, but since you are concerned, find the time to have your provider check you out.

Red Dots: Without seeing the skin lesions it is impossible to make a diagnosis. The lesions could be: angiomas, folliculitis, insect bites, follicular eczema or other.