Continuity mistake: As Kono talks to Johnny Kalama in the students' apartment, an orange lava lamp sits on the shelf between them. Each time the camera angle reverses, the wax bubbles in the lamp are very noticeably in different positions and configurations.
Continuity mistake: Danno, posing as a photographer on the beach, snaps the shutter at a bikini-clad girl and quips, "I only wish I had some film." Seconds later, he takes a picture of the suspects that's then used to identify them. The scene is continuous, and at no time did he ever load film into the empty camera, nor did he have another one.