Continuity mistake: When Don and Sloan are in her office discussing the economic tip, Sloan's hair repeatedly jumps from straight down to tucked behind her ear.
Revealing mistake: When Elliot and Maggie first arrive in Boston and Elliot begins reporting on the 31 injured patients, in several shots Maggie is supposedly on the phone with Jim back in New York. In each shot if you look closely you can see her iPhone's screen is lit up and is on the home screen, meaning she isn't actually on the phone.
What Kind of Day Has It Been - S3-E6
Factual error: The limousines carrying everyone to the funeral have New York plates but have white TCP numbers. TCP stands for Transportation Charter Party / Transportation Charter Permit. This is issued by the state of California and only California. New York permits have a different decal / designation.
Audio problem: In the Juilliard scene, the vocalist is singing the Schubert Ave Maria but the music on the piano is the other famous Ave Maria, the one set to music by J. S. Bach.