The camera is inside Peggy's house when Andy angrily slams the door while leaving and her arms are straight down by her side as he leaves. The immediate next shot, from outside, shows her in silhouette with her arms akimbo.
Barney wants Andy go to The Tip-Top Cafe in Mt. Pilot because Barney got a tip they were selling liquor. Mt. Pilot is not in their jurisdiction as police officers and they couldn't make an arrest there even if it was true.