From the symptoms viral infections like chicken pox, heat rash and scabies should be ruled out. Scabies is characterized by intense itching, usually at night and by small insect-type bites lesions on the skin. Diagnosis of scabies is made by scraping the skin and viewing the material under a microscope to see the characteristic mite or eggs.
If the bumps become itchy then you should get it evaluated from a dermatologist. Till then, you can apply some calamine lotion at the rash as it will help in soothing the skin. You can take some OTC oral antihistamine medications like Benadryl or Claritin and see if it helps.