When Jack walks up to the delivery entrance of the hotel where he is about to ambush Logan's motorcade, there's a big trash bin right behind him at the wall to the right. In the last scene of the episode, when Jack is standing outside Novakovich's hotel, the exact same trash bin with the same graffiti on it can be seen behind Jack, this time loaded with trash bags.
After Pillar ends his phone call with Novakovich's man, he is told about Jack's injury and the manner of which he stormed the room, but never conveyed the message to President Logan. President Logan then calls President Suvarov and informs him, but could not have been told in the time between the two events.
When Reed and Jack are walking down the alleyway, Jack's rucksack straps are alternately in front of/behind his jacket lapels between shots.
During the discussion between Chloe and Arlo about Jim Ricker's (Michael Madsen) background, an entry "West Point Military Academy" appears on the computer screen. Any official record would use either West Point or United States Military Academy, but not a merging of the two.
It is impossible to shoot off a padlock, especially if you only have a handgun.
At 30:30, Chloe looks at her data device with information about Jack's helper, Jim Ricker. The spelling is way off on the first entry. It reads: "United Status Special Forces (Green Baret)."