It's always better to show the doctor again, who will change the medication according to the child's condition. If he's not available show someone else. Most children who have a cold cough and fever probably have  a viral infection don't need antibiotics. They need Paracetamol for fever, nasal drops and steam will give relief for blocked nose and cough. Cough suppressants are used if the cough is persistent and severe . Bronchodilators are used if there is an element of allergy , or narrowing of air passages.