Other mistake: When the taxi and the BMW are driving down the alley, the robbers are trying to escape, the cop is running after them on foot, they reach the end of the alley the BMW takes off but the taxi stops for the cop and he shows up shortly after. There is no way he could've caught up to them that fast. Not unless he can run at 30mph.
Other mistake: When Belle supes up her cab, you see that the top of the cab where the number is comes down and there is a license plate that comes over the original plate so the cops can't find the cab after she speeds. Yet the original cab number can still be seen on the cab doors.