I have been having episodes of dry cough since 45 days. What might help?

Hello doctor,

I am a 29 year old male. Since the last 45 days, I have been suffering from episodes of dry cough. 10 days back, I had a 102-degree fever for three days for which the doctor prescribed Paracetamol and a five-day course of antibiotics. The fever improved, but not the cough. I went to another doctor and got another three days prescription for antibiotics. I still cough (on and off ) but almost daily. I do not know if it is normal, but I have a whitish hard palette and a slightly reddish throat. I had blood work and chest X-ray which was normal. I am worried because of this cough and throat clearing problem. Please help.

Thank you doctor,

I do not smoke, but I agree with your response that antibiotics are not helping. Let me recap the quick facts. I developed a cough 45 days back.  I developed a fever for three days, 10 days back, that is 35 days after continuously coughing. I developed a small swollen lymph node behind the ear which was checked by the doctor. It resolved now after the fever. I had coughing on and off with some visible whitish deposits on the soft and hard palate, with a reddish throat that looks normal to my wife. I am concerned about serious diseases like lung cancer or throat cancer.