The bladder dysfunction is a known adverse event related to severe and chronic cough. The only way I could explain the pain down the arm and also the leg is that the severe coughing is causing tension on your muscles which in turn is exerting pressure on your spinal column causing compression or 'pinching' of the nerves. You could try some anti inflammatories for short term relief but the long term solution would be to address the underlying cause of the cough (including the underlying cause of the GORD) and core strengthening and mobility exercises.
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