10 days cough is of concern in a 45 day old infant , please follow ur doctors advice , he may need a chest x ray a complete blood count
and estimation of CRP. kindly watch for the danger signs of sepsis and pneumonia in ur child- decreased activity, poor feeding, fever , hurried respiration, chest retractions, poor feeding, if any of these are found immediate medical help
required. the red spot above the lips may be a hemangioma
, nothing majorily concerned , but as it is present in the midline needs further evaluation, a dermatologist
opinion is important.