Episode #1.1 - S1-E1
Continuity mistake: When Emma gets a pen out of her bag so that Dexter can write his number, the pen is upright. When the shot cuts, it is upside down, then it is upright again in the shot after that. (00:35:04)
Episode #1.5 - S1-E5
Factual error: A VHS of the movie Indecent Proposal can be seen on the shelf in Dexter's bedroom. This episode takes place on 15 July 1992, but Indecent Proposal didn't release until 1993. (00:11:06)