Continuity mistake: When Pierce first begins to interrogate Caliban in the safe house in Mexico, a large portion of Caliban's albino makeup is smudged below his nose, revealing the actor's natural skin in his first close-up of the scene; after switching to a close-up of Pierce, then back to Caliban, the smudge has been fixed.
Factual error: Logan and Laura emerge from an urgent-care clinic in a small town, presumably somewhere in the Great Plains or eastern Rockies. Shortly after they emerge from this clinic, a Louisiana state highway sign is visible in the background. As the scene ends, the camera pulls back to show mountains in the background, indicating that they aren't in Louisiana.
Revealing mistake: After the first fight scene when Logan is pulling bullets out of his body and dropping them in the sink there is a shell casing with them, showing they're unfired.