Can a two month old take amoxil and piriton at the same time ?

Too young: In the US, a two-month-old would be a few weeks too young to use Amoxil unless there was a very specific reason. Also, a two-month old here would be many years too young for combination cough/cold/allergy medications. The US recommendation is for young children not to use medications such as decongestant-antihistamines to treat cold symptoms.