Plot hole: "Sight Unseen": Wells has the key to Lori's shackles. Weston, who knows this, knocks Wells out, but instead of taking his keys, uses a completely unnecessary (and considerably more difficult) set of bolt cutters to break the leg cuffs. (00:32:30)
Character mistake: The Eagle Koenig flies is called Eagle One. However, the number on the door behind him is plainly a four, meaning Eagle Four.
Suggested correction: This happens a lot. The number on the door is not the number of the Eagle, it's the number of the command module. The super structure and drive systems are Eagle One. Even then, there has been several Eagle Ones destroyed or lost. Eagle One is assigned its designation by the head of Recon, Alan Carter.
Continuity mistake: After Nicky has been separated from her parents, Nicky and her father are walking the streets looking for each other. A horse and cart with lots of children on the cart and a line of children walking behind it goes past Nicky. She sees her father walking on the other side on the road, but when she walks behind the cart to cross the road, the camera angle changes, and the children have changed places in the line.
Continuity mistake: Benkei is talking with the Getter team for the first time and promises to fix Genki's model airplane. The wings are broken in a different way between shots. (00:08:20)