Kids that young can definatly have allergies. I know I did as a child, still have them and every time i get them, my son does too. No fever, and most normal medcines dont do a thing. Should get tested since I have had it BAD since moving to SC. Something blooms and pollinates every single month here and because the weather has been funny this year, things are blooming WAY early. The peach tree in the yard is blooming and normally hasnt done that till end of April!