Corrected entry: Buddy's lifestyle indicates him being a species of ground porcupine, of which no species exist in the new world.
Corrected entry: When Boog is in the hunter's house, the hunter returns, and Boog needs to hide. When he ducks under the table you see the hunter right already next to the table in the next immediate shot with no time to get there. It is implied that the hunter didn't see Boog, but he can't be where he is standing in that shot without having seen the bear duck under the table.
Corrected entry: In the scene where Elliot is in Boog's garage, he holds a hanger to his head in place of his missing antler to get radio reception- thus implying that he knows about the missing antler. Later, when Elliot sees his reflection in the water after meeting his old herd, he is shocked by the fact that he's missing his antler.