Welcome to Cardiology forum at HealthCareMagic:
The real questions from your query is whether your chest tightness
is coming from heart or is it musculoskeletal in origin.
Your symptoms profile could be a sign of Exertional Angina (When you exert, your heart beats fast and the demand for oxygen supply for heart is not met).
I recommend you to consult Cardiologist
. You need EKG, and Tread Mill Stress Test
to know whether you have Ischemic Heart Disease
(i.e. to know whether you heart vessels are blocked to any extent).
Regards-- Dr. Jagdish