I just noticed there are small red dots all over my body, can't be chicken pox, already had it, no itch, and just appeared, is it an allergic reaction?

Possibly allergic: Chicken pox usually causes tiny blisters, initially just a few. Second cases of chicken pox are NOT unusual. The description of your lesions makes the disease unlikely. Other viral disease, particularly in summer are a possibility. Allergic reactions usually itch; a drug reaction would be another possibility. If the rash does not resolve within a few days, see your primary care physician.