Dep. Wiegle's braids disappear and reappear in successive scenes, it's doubtful she would have time to get them redone based on the timing of the scenes.
During the first night at the International Inn, Dep. Wiegle shows Lt Dangle her sunburn, patterned around a bathing suit and a bra. The next day she appears on the beach with Dep. Johnson wearing the bathing suit/bra combination, but without the burn. It would appear these two scenes were originally shot to appear in reverse order.
During the scene where Deputy Travis Junior is walking through the hotel lobby, the cigarette dangling from his lips changes length several times.
When Wiegel and Raineesha are talking to Terry on the boardwalk, a muscular body-builder can be seen walking toward the camera. He disappears when the camera cuts, but this is because there is a barely noticeable jump cut there, as done several more times throughout the scene and the movie. The movie is filmed like a reality TV show, where jump cuts like this are done on purpose.
During the end credits, when Kimble taps a woman on the ass and says "aufwiedersehen", she tells Williams that the girl speaks Dutch. "Aufwiedersehen" is German for goodbye; "tot ziens" would be Dutch. Although this seems to be a mistake, it's actually the point of the joke that Kimble doesn't realize that she got the language wrong.
At the end of the movie when Terry comes around the bus on roller skates playing a ukulele, you can see the smoke stacks of the RMS Queen Mary (a museum/hotel in Long Beach, CA) reflected in the bus windows.
When they are trying to push the whale off the beach and Junior falls into the blow hole you can see the foam and rubber that make up the whale.