Continuity mistake: It's a locked room mystery, and to make it more obvious the pretty aide asks how was it possible for the killer to do it. Jack answers "There's the rub, Florence"; viewed from behind, Jack has both hands on the handkerchief, but from the front, just one. (00:04:35)
Continuity mistake: When Jack picks up the fork from the floor, it keeps turning around in the first couple of shots and in the last couple of shots (when Florence goes to talk to the others). (00:04:45)
Continuity mistake: Backstage, Commissioner Selwyn Patterson reveals to the band members about the message from the victim. The band member in purple has his hand clasped on the beret in noticeably different ways as the shot changes. (00:07:50)
Continuity mistake: Jack and Florence are talking to Delmar Brown at his bar. Delmar pours himself some hard liquor, puts the glass down close by, and the glass simply disappears for the rest of the scene. (00:19:20)
Continuity mistake: Time to examine the photo albums just found by JP; Jack has the open folder in front of him. He's about to flip the first page, but in the close-up that follows, he already flipped two; in the following cut he just flipped the first. (00:21:10)
Continuity mistake: Dwayne literally points out of the various pictures with Maya Oprey. JP asks him sarcastically if he wants to do the talking. Danny John-Jules ' hands are joined when he says "If I must", but he has folded arms in the next shot. (00:21:40)
Continuity mistake: The Commissioner visits Jack at his desk to get updates. Jack is busy with the tuning fork; during the sequence it is quite evident that the distance between his hand and the fork is different in the two main camera angles used. (00:32:00)
Continuity mistake: When Jack updates the Commissioner on how slowly both cases are going, his left arm is in a different position on the desk between shots. (00:32:30)
Continuity mistake: Florence is listening to the tape recording with her arms folded. When Jack and Dwayne say that the two on tape had an affair, Florence makes a comment; her hand is raised open or on her upper arm depending on the angle. (00:33:10)
Continuity mistake: At the silver wedding anniversary, Leon gives his speech about what everyone needs to "over-stand"; his hand is on the microphone, off it, on it again, etc.. (00:35:00)
Continuity mistake: Mayor Catherine Bordey approaches Dwayne at the melon stand and talks him into forgiving his dad. During the conversation, she has direct sunlight on her right side (shoulder, face) in the shots with the camera closer to her, and no rays whenever the camera is closer to Danny John-Jules. (00:36:55)
Continuity mistake: In the episode finale, Dwayne's beer switches hands two times off-camera for no reason and with no visible movement of the actor's arms.
Answer: There's probably no particular reason. Sets and props on long-running TV shows often change as needed and for various reasons throughout a series run.
raywest ★