In the first shot of Harley Quinn driving Poison Ivy's car through the mall, all three villains can be seen in the car. However, on the very next shot, Ivy is not in the car, but standing beside it.
At the end of the episode, in the second close-up shot of Det. Harvey Bullock talking to the reporter on the TV, the TV appears to be behind them.
Livewire should not be able to shock Batgirl inside the Batmobile by shocking it due to the principle of the Faraday cage: the Batmobile itself would shield Batgirl from any electric charges, due to the chassis' conductivity canceling out external charges.