You seem to be suffering from pharyngitis/otitis along with the bronchitis
and hence the throat symptoms and the angioedema
(swelling) of the throat is causing the tightness.
You will require a short course of antibiotics (not sure what z pac is) if there is fever as well.
Most of these are viral in nature but superadded bacterial infection tends to worsen the symptoms.
A short course (7-10 days) of long anting antihistamines will help.
If the sore throat
persists, you may find it useful to get allergy tests
(skin prick or specific IgE blood test
) done. Once allergies are identified that are worsening the sinuses/chest, a combination of nasal steroids plus inhalers for the lung will be standard long term treatment.