Continuity mistake: When Bugs (dressed as an old man) is talking to MacRory by the burrow, you can see MacRory's gun is by the burrow. But when Bugs says "Games?" and brings back a card table, the gun has disappeared.
Continuity mistake: When Bugs destroys MacRory's bagpipes, there are pieces of the instrument on the ground. But when Bugs says "What's wrong, he says?" we return to the two, and the pieces have all gone.