Plot hole: In the end of the episode, Wolverine is seen recuperating after surgery removes the microchip in his brain, and his head is bandaged. Performing invasive surgery on Wolverine's brain isn't possible, since that would require going through his adamantium-infused skull and no conventional material is capable of that. Only a less invasive technique (such as going through the cranial sutres or cranial foramen) would have been effective and that most likely would not have required Wolverine's head to be bandaged (especially with his rapid healing mutant ability).
Continuity mistake: The claw marks Wolverine slashes through the door are suddenly longer when he exits the room.
Other mistake: The trees that the brainwashed Wolverine slices down, while chasing after Kitty, fall to the ground too slowly. They should fall quickly as a large, heavy object would, but instead float down like a feather.