Near the end, the group is standing right outside the library, and Britta invites Jeff to come back upstairs, indicating their study room is on a higher floor. Subsequent episodes reveal their study room to be on the ground floor.
Britta claims to have been a Peace Corps volunteer after dropping out of high school. This would not be possible as Peace Corps generally requires a minimum of a bachelor's degree for acceptance into its volunteer program; Britta does not have the background for its non-degree positions.
In the first interaction with Jeff & Britta, she claims that he "plays Bejeweled all day on his iPhone". Jeff's signature electronic device is a Blackberry, not an iPhone.