When Penguin is using his "umbrella pen" to mark the glass, it appears to run out of ink after going from right to left on the case. No marking on left or top of glass, then Pengy hits it and it miraculously is nicely cut & did not follow the lines drawn.
The building under the title screen is supposed to be the Gotham City Public Library. In real life, it's the New York Public Library, and the name of such is clearly visible on the top of the building.