The cast has strong ties to Aaron Sorkin's television projects: Peter Krause starred as anchor Casey McCall in Sports Night (1998), Richard Schiff was communications director Toby Ziegler on The West Wing (1999), and Kari Matchett did a five-episode run on Studio 60 on the Sunset Strip (2006) as attorney Mary Tate.
In the hostage situation, Hassan has been cut on the scar under his left eye, but it goes from bloody to not bloody to bloody again in subsequent shots. His hands are tied so he could not have wiped it clean.
Right before Allen hits "the terrorist" in the head with the pistol in the alley, "the terrorist" does not have his mouth covered, but after he has been hit, his mouth is covered again.
All the news scrolls go from left to right, but news scrolls go right to left (at least in languages that read left to right) so you see the first words first. This makes it impossible to read. The filmmakers did this intentionally, and it's up to the viewer to decide why they did it this way.