Plot hole: When Larry and Curley reunite with Moe on the Jersey Shore set, the producer who got Moe on the show is surprised to see there are three of them, conveniently forgetting he was watching all three together on stage before Larry and Curley walked off and he gave Moe the part.
Continuity mistake: In the scene where the three stooges are driving the golf cart and round the corner the handle from the lawnmower is extended and knocks over the ladder with the Nun. The next shot shows them getting out of the cart and the handle is no longer sticking out of the side of the cart.
Continuity mistake: When Moe throws the octopus at Larry at Teddy and Lydia's anniversary party, Larry ducks and it hits someone standing off to his side. But based on the directionality of Moe's throw, it should have hit the couple directly behind him.
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Continuity mistake: The bell falls from the roof onto Sister Mary Mengele and knocks her out cold. She falls to the ground and there is a metal bucket about three feet from her head. When Moe and Curly grab her under the arms and slide her further away from the building, there is now a fire hydrant with a tuft of grass that her head is banged against.