Continuity mistake: When we first see Wile E. Coyote at the beginning of the short, he places his picnic bag on a footprint before introducing himself. But after Wile E. Says "I am a genius, by trade", we cut to the picnic bag and it is now next to his foot.
Continuity mistake: When Bugs leaves his rabbit hole to join Wile E. Coyote at his picnic, you can see there is a jar of mustard near the end of the edge of the blanket. But when we see a full view of the blanket in the next shot, the jar has disappeared.
Continuity mistake: At the beginning of the cartoon, you can see there is a post box outside Bugs' home. But when he jumps into the hole when Wile E. Coyote is pursuing him towards the end, the post box has gone.
Continuity mistake: Before Wile E. Coyote is about to put the blanket into the stewing pot, you can see there are bones beside the huge rock next to him. But when we see Wile E. Coyote in the stewing pot after he fell into it, the bones are nowhere to be seen.
In the opening title card, you will notice there is no "Story" credit. Michael Maltese was the story writer, but as he had left Warner Brothers for Hanna-Barbera, his name was removed from the credits.