At the end of this episode, Longmire shows Branch a piece of paper stating that he had the ashes that they found tested for DNA and that the DNA showed who the ashes belonged to. This is not possible. You cannot get DNA from someone's ashes. The heat destroys that evidence.
When the nurse came into Branch's room and was checking his pulse. There would be no need to do this as there was a electronic monitor that was showing his heart rate on the monitor. However, Branch was hallucinating at the time.