When Jack is interrogating Henderson in his home, Jack knocks over a chess set on the coffee table with a briefcase. A later shot reveals the chess set intact and perfectly set up.
When Tony Almeida gets out of his hospital bed he removes his facial bandage in front of the mirror. This uncovers damage to his right cheek and ear. In the very next scene, when he is on the computer investigating the fate of Michelle, not a scratch is seen on his right cheek or ear.
When the first lady and the Russian president and his wife get dropped off in the helicopter after the attack on the motorcade, the machine gun on the helicopter doesn't have a box of ammo loaded, yet has someone manning the gun.
Curtis should've had a tactical team member bring him the containment unit to him in the basement ventilation room so he wouldn't have to carry nerve gas canister himself and run throughout the hospital and outside to where the tactical team truck was located.
Unlike the shopping mall, Curtis and his tactical team entered the hospital without gas masks.