Whenever I cough to clear my throat, why do I get a strange smell?

Hello doctor,

I am a 32 year old male. I had some cough and cold last month due to drinking chilled beverages. After that, I have had a feeling of throat blockage, and my throat was burning. If I try to cough forcefully to clear the throat, I get a strange smell in my nose. I am taking Telekast L tablet for last four weeks. Also, I have a feeling of mild right-sided ear block as well. The right side of my neck was also a bit stiff. The bad breath is really annoying. I am using Hexidine mouthwash. I typically feel the odor more just after having my meal or after coughing. Previously, I took Pulmocef CV antibiotics. At the time of the infection, I had sticky gray phlegm. It is not there now. Currently, the bad odor is still there, and I am feeling a mild blockage in right side of my larynx. Also, if I am in an air-conditioned environment, the coughing starts. While trying to swallow, I have a very mild pain in the right side of my pharynx. I had fatty liver and acid reflux last year, but it recovered after having a strict diet. I quit smoking two months ago, and I am on NRT. I occasionally drink, maximum 4.05 fl oz in a week. Please advise.

Hello doctor,

Thanks for your valuable response. As directed, I am sharing three pictures of my throat along with this message. Rather than throat irritation, the coughing, and mild breathlessness, my another concern is bad breath or smell. Awaiting your valuable response on the same.