Continuity mistake: Rex takes off in the experimental glider, which detaches its wheels onto the runway as soon as it's airborne. When the camera angle changes, the plane is still at the same height, but the dropped wheel assembly has disappeared from the tarmac. (00:23:00)
Continuity mistake: When he's talking to the insurance agent at the sidewalk cafe, Rex's newspaper changes positions in his hands between shots. (00:53:25)