When Reid first talks to Emily about Lindsey's case, he tells her that the case was in April, 2007. This is wrong because it was broadcast on January 9th, 2008.
Reid has an eidetic memory, the ability to recall perfectly details about things he has seen, read, and experienced. While his memory of the event in Mexico might be suspect because of the drugs, there is no way he would not recognize Lindsay Vaughn from his experience with her ten years ago. And yet the team questions his memory of her repeatedly.
When Luke is talking to Calvin Shaw and tells him he is being transferred, he pronounces Milan wrong. He pronounces it like the city in Italy, it is actually pronounced MY-lyn.