There are a number of reasons for chest pain.
1. Heart - angina or myocardial infarction will cause central crushing pain, often radiating upwards towards jaw and left arm. Clamminess, Shortness of breath, nausea, feelings of doom are also symptoms of an actute MI
Angina would occur periodically especially on exertion. A diagnosis of angina is usually made on a full history of when symptoms occur and what makes them better eg rest or Glyceryl trinitrate spray.
There are other conditions relating to inflammation of heart muscle/valves and walls which can cause central chest pain.
2. Lungs- inflammation of lining/muscles might cause central chest pain although usually associated with shortness of breath. Also a Pulmonary Embolism would cause chest pain and usually shortness of breath
3. Oesophagus/Stomach - problems with the digestive tract can cause central pain and discomfort. There are a number of different problems including oesphageal stricture, hiatus hernia, stomach ulcer to name a few. Pain on right side may also be related to liver.
As you can see there are a variety of possible causes so treatment recommendations cannot be made until we identify exact cause. Any chest pain needs to be seen by your doctor, speed of visit depends on intensity of pain. It sounds like angina has been ruled out however I would expect that you have already had an ECG and Echocardiogram?
Your description does not sound like typical shingles distribution. I would recommend a upper GI endoscopy as your next step to rule out a problem with acid reflux or esophageal stricture as these can sometimes present with the symptoms that you describe.
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