Obviously you have been looking at some medical literature if you know about Tietze's syndrome. I write about this syndrome on page 151 of my book for physicians on Diagnosis of Chest Pain. The book is out of print, but you may be able to get it in your library. I doubt that you have Tietze's syndrome.
There are many causes for chest pains that do not arise from the heart or lungs. After all, the chest wall includes many components, including bone, cartilage, nerves, veins and arteries. Also, chest pains can come from problems in the spine.
You do not describe the nature of your pains, specifically where and when they occur,your habits,your work, family history, pains outside of the chest, whether the doctor found any problems on physical examination, etc.
I doubt that calcium shots would be of help in any case. Also, please keep in mind that the heart normally is in the middle of the chest, and not on the left side.
I would suggest that you discuss with your doctor doing some blood studies, including tests related to inflammation (sedimentation rate, CRP, etc) and perhaps some spine x-rays.
Please be aware that I am unable to diagnose medical conditions online.