The colors of the top of the Empire State Building change from one shot to the next throughout the course of one "night" throughout the series. The Empire State Building does routinely have its colors changed, but it remains the same throughout a night and is not lit with any mechanically rotating colors.
In the end scene, when Anna is trying to bliss humans at large, there is a mismatch on the amount of blood on Anna's face.
Just before Amy comes into the bliss chamber, Anna's eyes and cheeks are covered with blood. When Amy arrives and begins to bliss the humans, the camera is behind Anna's left shoulder with Amy in focus, and there is not a drop of blood on Anna's left cheek.
Anna tells one of her security personnel to leak to the press where the FBI is holding her daughter Lisa. Lisa is actually being held by the Fifth Column, not the FBI.