In the opening sequence, Phelps gets his instructions in a car parked on the street. When he crosses to the car, he uses a key to unlock it, although the window seems to be open. (However, these could be part of the security procedures to keep anyone else from entering the vehicle.)
At end of episode, Kelmann goes to foyer to call police and there is a purse on the round table. After Jim helps Cinnamon to her feet and they go back to Kelmann walking up the stairs, the purse is gone.
When Phelps plays the instructions on car tape player, the tape player should not have worked, because the key had not been placed in the ignition to turn on the power.
In the Park, which is supposed to be in Germany, carved into the tree are the names Brent and Dave. Not exactly German names.
When Kelmann fetches his car in the park to give Cinnamon a ride, the camera crew is reflected in the door panel.
When the IMF was deceiving Kellmann into believing he was in the past, in 1932, they used a Walther P38 pistol. Considering that Kellmann was an arms manufacturer, surely he would have realized that the Walther P38 pistol would not come out for another 6 years.