When Jerry hands Barney the button in the car, the front of the button is facing Jerry, and Barney is holding it between his thumb and two fingers. When the camera angle changes to over Barney's shoulder, the button is facing Barney and he is holding it between his thumb and one finger. Each time the camera changes angles during this part, the button and the hold change.
Jerry leaves a student driver to get herself back to New York all on her own after being dropped back at home.