When Lorelai and Rory are at the kitchen table working on the application, Rory's soda rotates without her picking it up.
The error concerning The Beatles not playing Shea Stadium until 1965 has been corrected by ADR on the version of the episode airing on Netflix.
During the Springsteen family mealtime quiz, Darren incorrectly states that Falstaff appears in "Henry V"; he in fact dies offstage and his death is described by Mistress Quickly, but he does not (necessarily) physically appear.
Paris makes reference to The Beatles playing at Shea Stadium and says they didn't have video screens in 1963. The Beatles did not play Shea Stadium until 1965.
When Lane brings over her ad for a band, the bands she lists are supposedly alphabetical - but Angelic Upstarts comes before Agnostic Front.