
Continuity mistake: When Finch is moping through the house, depressed, he goes through a door marked "keep out". The door handle is on the left side, meaning that from inside the room the handle must be on the right. However, when he plays with the pool balls, we can see that the door he must just have come through (there's no other door visible) has the handle on the left. (01:16:30)
Answer: The song is called Sway by Bic Runga.