Thank you so much for your comments.
No, there is nothing in your description to suggest that you have cancer, either of the throat or your lungs. The “whistle” in your lungs suggests that you may have asthma or bronchitis. It is not uncommon for a “horrible cold” or any of a variety of viral respiratory infections to set off asthma or a lingering bronchitis. Another possibility is that your initial illness may have been whooping cough, a not uncommon infection of adults, these days.
You have no reason to be “scared” to go to a doctor. When you do, you should have an examination of your throat and lungs and, given the duration of your illness, you should also have a chest X-ray. This would be an especially good time for you to try to stop smoking, as whatever has irritated your throat and lungs can only be made worse and/or take longer to resolve, by just 3-4 cigarettes a day.
Good luck