After Claire is attacked with paint, she's rushed to the car and we can see her face and neck left sides completely clean. Afterwards, when she's speaking with Tom, he cleans up paint from her neck.
In the television coverage of Syrians protesting Underwood they are carrying a mix of Syrian regime flags (red, white, and black with two stars) and Free Syria flags (green, white, and black with three stars). These flags represent opposing sides in the ongoing civil war.
During the news coverage of the search for the ICO terrorist (approx 0:44:15), the text at the bottom of the screen reads "Large Scale Action on the Virgina Border" (instead of "Virginia").
In the first scene the TelePrompter reads "in two week's time"; this is a punctuation error as it should read "two weeks' time".