He seems to be suffering from Chronic Rhinosinusitis with Postnasal drip which causes that hacking cough. It could also be a sign of Laryngopharyngeal Reflux Disease.
Please use this app to find and meet a good ENT Specialist in your city to examine you & do the needful. If you are able to make it to Basaveshwaranagar, I would be very happy to help you out myself. My clinic Healthcare@Basaveshwaranagar is easily navigable on Google Maps.
Your father needs to visit an ENT surgeon for check up and diagnosis. Certain problems can not be diagnosed without check up. There can be several possibilities for such complaints.
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