Parkinson's disease (or Parkinson-like symptoms that can be cause by some medications like Reglan) usually effects the entire body, not just one side of the body. One-sided nervous system processes can include the brain or spinal cord like what is seen in stroke patients. If the spinal cord in the neck was involved, I would expect problems with bowel or bladder control. I would also expect abnormal reflexes called upper motor signs that cause hyper-reflexes like clonus or a hoffman's sign. All of which requires a complete nervous-system exam which is best performed by a neurologist. I would also reccommend an electrodiagnostic exam of the right arm, again performed by a neurologist or PM&R specialist. This problem sounds like a puzzle that deserves a second look by another specialist for a second opinion.
Dr. Christina Lasich, MD