Your patient seems to suffer from the trauma to the cervical spine some kind of whiplash injury of the neck although not the classical whiplash which are usually rear end collisions or strikes. If the X-rays are clear, that means there is no evidence of fractures on any vertebrae of the cervical spine. But there seems to be a fair traumatic injury of the cervical soft tissues which may include the cervical intervertebal discs, ligaments, muscles and possible compression of the spinal cord or nerve roots. Treatment can be made more empirical if you make a detaled neurological examination of both upper limbs and lower limbs which should include sensory, motor, reflex testing, also looking for upper motor neuron signs. Your examination may provide the reason for apprent weakness in hand and the burning type of sensation experienced by the patient. That is most probably due to a neurological deficit due to a root compression or cord compression due to prolapsed disc or some soft tissue encroaching on neural structures. Just feedback us upon e results of your examination so that we may paln an effective management paln for that.