Rhinitis is just a fnacy term for runny nose. My mom is a nurse and I've always been told that "rhinitis" is a typical 'cold/runny nose' diagnosis.
The definition of rhinitis is irritation and inflammation of the internal areas of the nose. This can be caused by a common cold as well as allergies. Since you were tested for allergies and you had a negative result, I would not worry about chronic bronchitis or COPD. COPD is a lung DISEASE which is easily diagnosed through more testing that what your doctor felt you needed. There are many other symptoms that go along with COPD that, if given as examples to your doctor, he or she would have done furhter testing to rule out anything more serious than what you have.
The nasal spray is just to keep the inside of your nose moist. If it dries up, it causes more irritation and inflammation (swelling) of the inner layers of your nose and sinuses. The Albuterol just relaxes the muscles in the airways to increase the airflow to your lungs. (The wheezing is caused by the inflammation of the air passageway.) This should settle once once your body recognizes the strength of the Albuterol.
If you're not feeling better after a week or two, as your doctor probably explained, I would suggest calling him or her to let them know. It may be that you need antibiotics if it happens to be an infection. (i.e. sinus infection)
Good luck and feel better soon!