Continuity mistake: After Micky has just taken apart the Klutzmobile engine and the Baron has run over to the periscope, in the next scene, Micky has magically been re-tied in a chair, even though neither Wolfgang nor the Baron tied him up again.
Hitting the High Seas - S2-E12
Revealing mistake: When Micky is hiding in the alcove whilst the Captain is talking to his parrot, the curtain that's hiding him from view already has a tear in it before the Captain slices one in it. If you look carefully, you can see where the tear has been quickly held together with something, so that when the Captain slices at the curtain on cue, Micky just has to pull the bits apart to make it look like it's been actually sliced.
Continuity mistake: As Davy talks with Paw and Ella Mae, two dirt smudges on his right cheek keep disappearing and reappearing.
Visible crew/equipment: After Micky and Crumpets have been kidnapped, the amount and the slackness of the rope around Micky changes between the close-up and wide shots.
Answer: The Monkees TV series was very much a fantasy (this was the "groovy" psychedelic 60s, after all). Impossible things, such as items appearing out of nowhere, happened on their show without explanation all the time.
Jean G