Your symptoms of central chest pain and left-hand weakness require immediate medical evaluation to rule out a cardiac emergency (like a heart attack) or a neurological issue (like cervical radiculopathy). Please go to the nearest emergency room immediately. You should consult a Cardiologist first to rule out heart issues, followed by a Neurologist or Orthopedic specialist for your neck. Avoid self-medicating with painkillers, as they can mask critical symptoms and delay necessary treatment. Do not attempt home remedies or physical therapy until you have been evaluated and cleared by a physician.