I have quarter size dots all over my lower back from one side to the other. The outer rim of the dots are dark purple while inside its white.?

Very unusual. Your description is very unusual. Photos are needed. Try a HealthTap Prime virtual consult.
Best guess is fungus. Skin fungus infections such as "ringworm" present as you describe. Consider obtaining an OTC fungicide--ask your pharmacist--and treating half of the lesions, say on the right side, and then compare effect over the next ten days. Alternatively see a physician or consult a Healthtap physician with photographs showing the extent as well as several close ups for detail.