Myka tells Pete maybe the tattoo was on the box since it's leather. But Pete never told her the box was leather, he simply referred to it as a box. Through the Farnsworth for the briefest of moments that she glimpsed it, there was not even a way she could have noticed its composition.
When Josh asks Claudia why she is the his hand is in a fist but in the next scene it is open and in the next scene it is a fist again.
Amanda's ribbon/medal rack is upside down and the ribbons are in the wrong order.
Amanda's qualification badges are reversed. The expert badge should be first, regardless if it's for a rifle or pistol.
Mika rushes to her sister's aid. Yet in the episode 1 season 1 Pete ask about the Sons in the family bookstore Bering and sons. Mika tells Pete that her dad thinks it sounds better with the "son", and that it was just only her, which leads you to believe that she is the only child.
Myka says it must have been a wind storm that caused all the damage and then Tracey says that Colorado Springs doesn't have wind storms. The front range of the Rockies in Colorado is well known for it's wind storms at various times of the year.
Amanda mispronounces the word "corpsman".