HI Thank for asking to HCM I can understand your concern, no this is not right treatment for the infant these could worsen the condition, if this is allergic condition then this does not need any potent medicine, for the fever Acetaminophen can be given only if the temperature rises above 100 degree F if the fever persistence then blood work is necessary to rule out the bacteria infection otherwise the allergic condition will come around with general care, you can try pure honey at bed time take care for hydration, every thing will be fine soon take care of kid bye.