The Magritte painting "This is Not a Pipe" Bay references offers an imperfect metaphor for her discovering her life and identity are not what they seem. The painting evokes abstraction and representation--the differences between a physical pipe and a painted image of one--rather than an item being something different altogether (or in Bay's terms, a pipe is really an eggplant).
Daphne tells Bay that she and Regina might be moving to Toledo, Ohio. Bay later asks Regina how they'll get to know each other if Regina moves 1200 miles away. Kansas City and Toledo are approximately 700 miles away.
No school would allow a science class to force students to prick themselves with needles for an experiment, the liability would be enormous.