Continuity mistake: In the scene where Cricket is cutting out clips of the Bill Vaughn scandal, she places the one clipping into the binder on top of another, then in another shot, the new clipping is no longer there, and she places that exact same clipping into the binder again.
Now or Never - S1-E2
Continuity mistake: When Amy picks up her book from the trash her thumb is on the front cover. When the camera cuts and she hands the book to her co-worker, her thumb is on the back cover.
Episode #1.4 - S1-E4
Other mistake: Dr Ambrose, talking about a doctor tending to patients on death row, says "Hippocrates is spinning in his grave." The subtitles say "Hypocrites is spinning in his grave."
Continuity mistake: Chris has a blue dye pack explode on him, covering the front of his clown costume and face. But then shortly after, the dye is gone from his face and clothes.