Plot hole: 8-22 "Love Thy Neighbor, Take His Wife": The police cars speed to Tanaka's house with their sirens screaming, warning him in plenty of time to allow him to escape. Apparently these guys never heard of the law-enforcement standard "silent approach."
Plot hole: While Mundy is trying to disarm the briefcase bomb in the study, his time-sensitive work is interrupted no less than 6 times by people barging in from the party out front. The plot device adds comic relief, but there's no earthly reason why he couldn't have locked or barricaded the door in the first place. (00:36:00)