IN ANY CASE, you need to see a doctor and not put it off. ANY chest/lung pain should not be taken lightly, even if it turns out to be nothing serious. As you describe your symptoms, they are not "normal". I had similar symptoms when I had bronchitis a few years ago. The deep cough and it hurts (bad) when you cough. I would double over in pain. I am certainly not a doctor so what I have to say means nothing. I would suggest you get to the doctor ASAP and find out what is going on. If it is bronchitis, that can easily turn into pneumonia if allowed to persist. If that's what you have, the doctor will place you on heavy antibiotics to get rid of this lung infection.
The doctor! Do it!
The doctor! Do it!










By then though, it had healed and I only had to stay a night... wasn't that bad, but I hear it can be fatal in some serious cases, so yeah, you should definitely see a doctor in any case. 