Continuity mistake: When Elmer and Bugs fall off the cliff, Bugs takes a bottle of "Hare Tonic" and you can see he has the bottle in his hand when he drinks the tonic. When Bugs grinds to a halt, the bottle has disappeared.
Continuity mistake: When Bugs starts singing "Someone's Rocking My Dream Boat" when he is dreaming, you can see the side of his boat has nothing on it. When he throws out the anchor, the words "Dream Boat" have appeared.
Continuity mistake: When Bugs goes to sleep after taking the sleeping tablets, he is lying down with his legs straight and the sleeping tablet bottle is right by him. But in the next shot, his legs are now bent and the bottle has gone.
Continuity mistake: When Elmer is in the log, he puts out his hand to make sure he is on the ground and you can see there is a rock by the log. When Elmer breaks up his shotgun in front of Bugs, there is now no sign of the rock.