This is likely to be;
1) Costochondritis; it is inflammation at the junctions of rib and cartilage or with the breast bone / sternum. Local analgesic ointment, or spray, chest brace and warm compresses with Ibuprofen is helpful. Another possibility is muscle sprain. Please read about the costochondritis;
2) Pinched nerves in neck causing the radiculopathy pain.
This is called as non cardiac chest pain. You do not have high risk factors for the heart pain. Having said that, any chest pain warrant an EKG and blood test for cardiac enzymes. A very high index of suspicion should be kept for the chest pain and it is strongly advised to go to a doctor for an evaluation for the cautionary purpose. An EKG rules out anything serious and thus you can relax, once it comes out normal. This is the only way we can rule out the pain and heart association. Character, site of pain etc are not confirmatory to establish a diagnosis.
Please feel free for your follow up questions.
I would be happy to assist you further, if you need any more information.
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