Here are the tracks used for Pretty Little Liars episode 322, Will The Circle Be Unbroken, which aired on March 5th, 2013.
Artist name: Barcelona
Song title: “Slipping Away”
Scene description: Hanna and Aria talk about Hanna possibly moving to NY.
Artist name: Magic Wands
Song title: “Black Magic”
Scene description: Emily, Aria and Hanna talk about Spencer being taken for a mandatory psych
Artist name: Morning Parade
Song title: “Headlights”
Scene description: Emily is introduced to Olympic swimmer Missy Franklin at the coffee shop.