The shooting scene did not match the shooting scene present at the very end of the previous episode. In that episode only the first shot fired was shown and the scene cut out shortly after, but not before an aerial camera view of people's reactions and positions inconsistent with the longer scene played out in this episode.
In a flashback scene the president is shown preparing for the State of the Union address his first year in office, yet a president gives not a State of the Union speech in his or her first term but an "address to a joint session" quite similar to a SOTU, yet without the presumption that a person who has been in office for just a few months can truly speak on the state of the union.
In the flashback scene where Tom Larson and President Grant are Jogging, the microphone on actor Brian Letscher is clearly visible from the back.