When Cassiel is crossing the street, there is a bus coming. You can hear the bus driver let off the accelerator to allow the actor to pass, and then accelerate when he is clear. But the character is an angel, which adults cannot see, yet by the sound of the bus, it is clear that the bus driver sees him.
After Damiel becomes human, he buys a cup of coffee at a food stand. The proprietor pours coffee into a plastic cup, and Damiel immediately takes a large gulp - neither of which would be possible if the coffee were hot, as it would be if it were freshly poured.