Regular cough can cause Post nasal drip of mucus which might lead to an itchy throat. Again for breathlessness there's still many causes but for that u need to consult ENT in person to look for your nose for septal deviation and also get your nasal endoscopy done that might help u to less worry from thinking about the cancer.
Next Steps
consult nearby ENT if possible to get your doubt clear about the cancer.
Health Tips
start gargles of luke warm water 5-7 times a day.
stop cigarette smoking.