Mild Shooting/pinch pain in left chest.

I have mild shooting/pinching pain in my upper left chest both back and front side. On the left shoulder back it feels like a burning sensation pain continuously. And when i compress my chest by exhaling there is mild pain all around my rib cage (especially in the front center of the rib cage). Even my left arm feels this same pain when l press around the elbow. This pain generally increases every 3-6 months for few days and then stay in the back of my mind always. I had broderline high cholesterol and Bp 2 years back, but now i have controlled my weight and everything else is normal(BP, Pulse and weight). This pain is continuous and worries me a lot. Should I consider this as some heart blockage problem and get some tests done or just some gastric issue happening again and again. Please suggest!