Plot hole: When Killgrave's bodyguard dumps Cyclops face down in the pool and leaves him for dead, it is night time. When Sarah is shown to have successfully resuscitated Cyclops, it is broad daylight. If Cyclops had been floating face down in the pool for several hours then he would surely be dead. No amount of CPR would have brought him back.
Continuity mistake: The layout of the living room in Killgrave's house varies depending on the shot. Sometimes the half-circle couch is next to a staircase and sometimes it is not. The piano is also in a different spot on the floor each time it is shown. There are also chairs that appear and disappear throughout the scene.
Other mistake: When Killgrave is standing in front of the projector, the projector image is cast onto his person matched color for color, except for when his own image in his true purple-skinned form appears and the image cast onto him maintains a normal flesh color.
Continuity mistake: When Killgrave is walking up the porch steps to reclaim Rusty, Cyclops and Sarah are standing near the edge of the porch and Killgrave nearly makes it to the top before the shot changes. When the shot changes to Sarah telling him about Rusty's trouble adjusting, Killgrave is shown to be walking a considerable distance to get to Sarah despite the fact that the he was two or three steps away from her in the previous shot. Killgrave is also shown to be walking on level ground, which means either the porch has become a lot longer off-screen or that the animators forgot he was ascending the steps.
Continuity mistake: When the X-mansion is shown at the end of the episode, the landscaping around it is different than what was shown early in the episode. When the mansion was first shown, there is a shrub in the shape of a circle on the lawn across from the mansion, but at the end of the episode, the circle-shaped shrub has turned into some bushes. The bushes and trees around the mansion are also different looking and at the far side of the mansion the shrubs have grown taller. Additionally, when Wolverine is walking away from the mansion at the end, a hedge-wall has appeared next to the mansion. It's actually common for the landscaping outside the mansion to vary drastically from episode to episode. This is the first time I noticed it changing within the same episode.