Other mistake: When Logan loses his ability to heal, all his wounds stay, but his hands still heal after every usage of his claws - the skin on his hands is untouched.
Revealing mistake: When Logan slices his abdomen open to pull out the parasite around his heart, watch the (digital) wound at the bottom of the screen right before he says the line "You're not gonna wanna watch this part!" Not only does a small line of blood on the left of the wound simply "blink" into existence instantly at the bottom of the screen right after he pulls the claw out (slip up in rendering), but the wound itself doesn't quite 100% match up with Logan's movements - when he breathes in, the wound doesn't really move properly with his abdomen as it inflates.
Continuity mistake: The note that says "come and get her" in blood changes when Yukio pins it to the wall. The letters are written differently.
Suggested correction: The letters are in the same way.
Watch the scene again. They are different, they are in a different position too.
