Other mistake: After the scene shifts from Rico busting out of the black body bag to the street scene, as the camera pans down and to the left, water running off the shading panels of the camera moves along with it.
Other mistake: As the transport rises and passes close to the lone guard, it's reflected in his visor. However, since it's close enough that the thrusters are billowing his cloak, the reflection should be bigger.
In one of the final scenes where Stallone is hanging out of the Statue of Liberty, you can see that his "JUSTICE TATTOO" on his upper arm is a fake. You can see at the edge of the tattoo that it is glued on the skin.