If I was your doctor, I would get a stress test and maybe a ct angio to rule out two things: coronary artery disease and aortic aneurysm. Your symptoms of squeezing in the chest and lightheadedness would be worrisome for coronary artery disease, but I don't know your risk factors (age, cholesterol, blood pressure, family history, smoking, diabetes) but it would be prudent to ask your physician to check those out.
Hi
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Please consult a neurologist to get a MRI of the neck. You probably have a pinched nerve or bony abnormality of the cervical spine causing these symptoms. Take care!