When Raymond swims out to save Aquamarine from the storm, Aquamarine gets up on his surf board. They start to talk and one shot of Raymond shows he has several drops of water on his face. In the next shot his face is bone dry. Between those two shots it doesn't show him wipe his face dry.
When Aquamarine talks to Raymond for the first time, the blue streaks in her hair are bright and prominent, but when she goes to the hammock complaining that Raymond doesn't love her, the streaks have disappeared
When Hailey and Claire are hiding behind the umbrella in the beginning as they watch Ray, Hailey is shown laying down as the camera faces her, but when the camera is behind her she is shown propped up on one arm.
The movie is set in Florida but really was filmed in Australia. One scene in particular shows the girls reading magazines. One magazine is TotalGirl which is only sold in Australia and the areas around it.
When Aquamarine is talking with Raymond on his rescue board near the end, she is seen with her hair covering her chest. On the shots showing Aqua close up, she appears to be nude, but in the shots showing both of them, you can see a neutral-colored bathing suit between her hair.