Porky's home has the very latest cabinet radio. In the days before television, radio was the at home entertainment for Americans, and most of the songs in this film would have been familiar to the audience---thanks to radio.
Back Alley Oproar (1948) is an updated remake of this short, except Elmer Fudd is trying to sleep and Sylvester is the cat.
Both books shown mention Dr. Fu Manchu, a popular and mysterious comic book character at the time.
The title refers to the expression "nuts to you," which was a popular exclaimation of anger or dismissal.