Thanks for your query.Based on the facts you have stated it appears that you have got a Viral Infection of the Upper Respiratory Tract
..Please get your X-ray chest and Blood test( Haemogram) done to rule out Bronchitis
..The feeling of tightness in the chest is due to thick secretions of the bronchi.
Take some antibiotics like Amoxycillin
along with mucus liquefying drugs like Bromhexine
and hot fomentation for a week.It should resolve in a week.Avoid smoking till you recover completely.