Common cold, cough mostly due to viral fever.. Azithromycin is an antibiotic, no role of antibiotics (unless bactrial infection is proven) . So dont take azithromycin without doctors advice, it will only harm u..
Do salt water gargling, keep yourself hydrated, mantain adequate sleep duration..
Next Steps
continue paracetamol TDS and levocetrizine OD for initial 3 days .. if not relived, u can consult