Bugs' Nobel Prize is treated with far less esteem and ceremony than the real Prizes receive. The selection committee does not announce recipients by phone call, and certainly not by voicemail. Nobel Laureates receive do receive a gold medal, as well as a diploma - and approximately $1.1 million in prize money. Recipients don't get their Prize by mail: They travel to Sweden (Norway for the Peace Prize), give a lecture on what earned them the Prize, and attend a banquet where they are personally presented with their Prize by the King of Sweden (the King of Norway for Peace).
Porky tells Daffy that he's never seen him wear clothes, despite Daffy having worn clothes around Porky in many previous episodes.
Within seconds after Bugs drills into the water pipe, Daffy complains that there is no water. The tiny hole created by a common household screw wouldn't cause a perceptible drop in water pressure, much less a complete loss of water flow.