Faith's responsibilities for Mayor Wilkins involves killing unsuspecting people for his plans. In this case, it's a professor who knows about the Ascension.
Angel is heeding Joyce's warning and making the big move for him and Buffy's future. He is ending things with her so that she can live a full life of happiness.
Xander: I can't wait to see Cordelia. I can't believe I can't wait to see Cordelia. Willow: I wonder what our first homework assignment is gonna be. [He raises his eyebrows] Willow: Hey, you're excited over Cordelia, okay? We've all got issues.
Buffy: Hey Ken, wanna see my impression of Gandhi? [Buffy bashes his head with a weapon] Lily: Gandhi? Buffy: Well, you know, if he was really pissed off.
