During the shark attack rescue scene, Tackleberry's gun is pointed at the shark's head sticking out of the water, the gun visibly above sea level. However, in the next shot, Tackleberry's gun and the shark are now underwater.
When Kate and Jones are sparring, the way that Kate's Gi is wrapped changes several times. At the beginning, the left side is underneath the right side, but by the end of the fight, it's wrapped the opposite way.