When Tom Kirkman steps off his car aka "The Beast" his security officer closes the door behind him. In real life when the POTUS is near the car the door remains open. The reason is than in any case of threat against him he gets pushed back in the car which is far more safe than being outdoors.
During all inaugurations, the President-elect is protected by a bulletproof glass to prevent them being targeted by a sniper.
A GO Transit bus is visible while Vice President MacLeish's motorcade is driving through the streets of Washington, D.C.. GO transit is local to southern Ontario, Canada. The series is filmed in Toronto.
At 24:50, Tom wakes up screaming from his nightmare. His heart should be racing, yet the monitor continues showing a regular pulse.