What Causes Small Red Dots On My Torso And Limbs?

Hi-I have red pinpoint dots appearing on my torso, legs, and arms that are increasing over the past 2 months in frequency. They are bright red and do not itch or have any sensation and they eventually turn brown. I have a few health issues going on that may or may not be related-I have been dx with Celiac Disease, have an elevated red blood cell count (recent), and have been a few courses of antibiotics over the past few months for an infection. I appreciate your time. Thank you.