Other mistake: Just before the Charger crashes, a tow bar connecting both vehicles is visible on the Mustang's front bumper.
Continuity mistake: When Mr Bumble and the female workhouse employee take Oliver to the Governor's office, Bumble raises his hand and knocks on the door. The woman sings "They will lay the blame on the one who named him", prompting Bumble to move his hand away from the door, toward his face, as if he's about to place it over his mouth in concern. The camera then changes angles and Bumble's hand is suddenly lowered and nowhere near his face.