At 16.20 in part 2, an excision can be seen. The snow that was on the ground previously has totally disappeared.
Emma and the sleeper agent grapple over a bucket apparently full of gold nuggets. They handle it as though it's very light. It would likely weigh 100 pounds or more.
Emma handed Jessica two gold bars with one hand. Gold bars weigh 400 troy ounces each which is approximately 27.43 pounds each. Handing over nearly 55 pounds with one hand as easily as she did is extremely unlikely.
Mason says that the Soviets first had an atomic bomb six months after the US Japan bombings in August 1945. The Soviets didn't detonate their first atomic bomb until four years later in August 1949.
As the team walk into town from 2.45 minutes into part 2, the ground is covered in snow but there is none on the trees, buildings or vehicles. The blue colouring of the picture tries to hide the blazing sunshine.
After being stopped by Joaquin Murrieta Wyatt mounts his horse from the right side rather than from the left side.
The second part of the episode is set in a frozen winter but the length of the shadows suggest the sun is nearly overhead. The odd colouring of these scenes suggest that a blue filter was used to disguise that they were (probably) filmed during summer in strong sunlight. This is first noticeable 40.50 into the first part of the story.
A bit over 32 mins into part 2 Rufus tells Lucy that Logan tried to blowtorch his way out of the bunker to go find her.
He actually used a grinder.
At 15.10 into part 2, an extra on a walking stick can be soon to be signalling straight at the camera. Even leading actors don't look directly at the camera in films and shows unless giving the viewer dialogue.
Wyatt says that Flynn lied to him about who killed Jessica. In the first season Flynn names one person, but is shown killing her himself in this episode. However Flynn did not lie to him. In the original time line Flynn lived a happy life with his family in 2012 with no need to kill Jessica.
Even after Rufus is saved Lucy still is shown with the bruises she got from her dust up with Emma in San Francisco 1888. The only problem with that is that since they saved Rufus they never went there and they never fought so she shouldn't have any cuts.