My 7 month n10days baby has runny nose little bit cough n blocked, his under eyes become bit red. Plz help me?

Red eyes. He may have caught a viral infection that can cause cold like symptoms as well as a viral conjunctivitis causing red eye. Recommend following up with your doctor to make sure he hasn't caught any severe infection that needs to be treated. Viral infections are usually self limited so it will probably improve in a matter of days.