After singing at Caritas, Angel apologizes and one sees his hand turning the monitor of the karaoke machine off. When the camera shows him again from a distance, the monitor is on again.
When Angel is walking through the street fair, the shot from his perspective shows him coming on someone juggling bowling pins. When the shot changes to show his face, the juggler is never seen behind him.
Explaining why she killed Lord Nichols, Darla says, "I so loathe cheap royalty." A lord would be nobility, not royalty.