Dawson's Creek (1998)

Late - S4-E19

Plot hole: Right after Gail has her baby, Joey finally gets a very important phone call from Pacey. It's unrealistic to their characters that Joey wouldn't mention anything about Gail having her baby to Pacey during that phone call, as it was rather a momentous event.

Late - S4-E19

Other mistake: During Pacey's phone call to Joey at the end of the episode, Pacey lies about being on a fishing trip and mentions having caught a "91 pound marlin" which is a pretty big fish. This doesn't make sense for him to say that, as a fish that large would be noticably missing when he and Doug returned home. And they wouldn't have likely thrown a fish that large back into the sea. It would reveal he was lying if he returned home without the fish.