Continuity mistake: When the Haxenpaxen dies, its head is lowered and tilted down. But in the next shot of it, its head is straight up. It goes back to being tilted down.
Revealing mistake: One of Umber's goat contact lenses is askew during this scene. (00:33:00 - 00:34:30)
Continuity mistake: When John puts the box with his wife's ear down, it's left open. When Reynard picks it up, the box is closed.
Revealing mistake: When the character named "Husband" is lying dead with his entrails hanging out, it is clear that the actor is breathing. Watch his stomach movements (near the intestines). (00:34:18)
Continuity mistake: When Quentin grabs the shock stick, he's holding it with his left hand. When it switches to him saying there's only one way to prove it, the stick is now in his right hand.
Plot hole: Josh is worried about the Quickening, where he has to have traditional sex with an uninfected person. Then, he realizes that he already had sex with someone while he was under the identity spell, which would logically mean that he already met the obligations for the Quickening and it should no longer be a problem. However, it persists as a problem until he has sex with Margo later on in the season.
Suggested correction: The quickening is tied to the lunar cycle and only happens every 30 years or so. And it's only in the 48 hours before the moon reaches its aphelion when the quickening happens, when the urge must be fulfilled. It doesn't matter what the infected person did before the quickening, the urge still occurs.
It was never mentioned that a lycanthrope had to pass on the curse within the 48 hours. It was explained that in the 48 hours leading up to the Quickening, all lycanthropes develop urges that begin with nightmares or waking dreams. Their condition is technically a curse that is driving them to have sex with an uninfected person or kill them, which would directly imply that so long as the curse is passed on, the needs are met, and the Quickening need not occur.
That's not what was implied at all. The Quickening is an event that happens at regular intervals that gives Lycans an urge that has to be fulfilled, regardless if they passed on the curse sometime in the past. Helen already passed the curse on to Josh, but she also experienced the urge from the Quickening and fulfilled her urge in the timeframe of the Quickening.
Escape from the Happy Place - S4-E5
Revealing mistake: When the coach is killed by the monsters, the blood splatters onto the camera lens. The blood stays in one place until the camera slightly pans and it moves with the camera.
Continuity mistake: When Kady and Zelda are about to enter the poison room, Kady uncorks the bottle of insects and in the next shot the bottle is corked again.
Plot hole: In the poison room, Zelda is magically knocked unconscious where Everett explains to her, among other things, that there is a secret reservoir of magic. Plover then mentions the reservoir after Zelda awakens, as if he somehow heard the conversation in her head.
Continuity mistake: The martini glass Elliot was drinking changes to faux Fen's hand with no explanation of how she got it. (00:09:00 - 00:09:25)