This chest tightening on right side, with sweating, weakness, feeling lightheaded, shortness of breath, could be angina pectoris.
It happens as a symptom of heart disease, known as coronary artery disease (the arteries that supply the heart muscle with blood are narrowed and plaqued, resulting in decreased blood flow to the heart muscle, manifested as a chest tightness or pain).
One of the risk factors for angina and CAD is having a hypertension.
Hypertension is known as a silent disease, without symptoms till advanced stage.
Usually hypertensive people just feel fatigue, unwell with headaches.
It is very possible that you are having narrowed arteries in your legs, too, known as peripheral arterial disease (narrowing usually happens due to atherosclerosis)
Your legs do not receive enough blood or oxygen and you may feel pain when walking and feeling more cold.
Pain and discomfort can be felt in your hips, buttocks, thighs, knees, shins, or upper feet.
Being diabetic, having increased, abnormal blood levels of cholesterol, being overweighted and physical inactive, smoker for long years, all contributes to arterial disease in legs and heart muscle.
Best wishes!
Marija