Revealing mistake: In the beginning of the dance scene, when Sam gives Carter her phone so he can set the alarm, the phone isn't even on when he is programming it.
Revealing mistake: After the dance, during the Mercedes vs. Jaguar "race" back to the diner, much of the entire scene takes place at the same intersection of Victory Blvd and Olive Ave, filmed from different angles. Note the Jiffy Lube and Enterprise (cars) on the corners, which are actually across the street from one another. (00:47:25)
Answer: That song is "Hear You Me", by Jimmy Eat World.