In the elevator scene as well as in the scene that follows where Columbo is standing on the small and narrow road in the mountains, the character obviously suffers from vertigo; however, a few scenes later he is walking down the high metal staircases at the outside of a factory building and suddenly his vertigo seems to have completely disappeared.
In the tramcar high above the valley, the cable car guide is lecturing Columbo on the safety of the tramway. When viewed arriving at the top platform, Columbo is clearly visible but the guide is nowhere to be seen in the glass-windowed car, and presumably there was no way to get off before the top.
When Columbo walks over to play an answering machine message, Roger's right hand is on the top of a decanter while his left hand holds his drink. When the camera changes, neither hand is on the decanter and his right hand holds his drink. Also, the glass was just under half-full, but with the camera cut it becomes two thirds full.
Just before the buzzer sounds when Roger sits in his deceased uncle's chair, his left finger is on his upper lip while his thumb is on his cheek. When the camera changes, his finger is on his chin and his thumb hangs below it.
The deaths occurred in Palm Springs, Ca. This is in Riverside County and is nowhere near Columbo's jurisdiction. Jut because he was told to look into the possible disappearance by a supervisor; once the deaths were established to have occurred out of LA County and the city of LA, Columbo would not be involved in any investigation.