Bugs Bunny hides in the lamp and says, "I am Genie, the light brown hare," which is a play on the song "Jeanie with the Light Brown Hair," written by Stephen Foster in 1854.
Bugs mentions Albuquerque, NM and La Jolla, CA. He mispronounces "La Hoya" (the Spanish pronunciation of La Jolla) as it is spelled, "La Joh-lah." A common mistake of non-native Californians unfamiliar with the state's Spanish heritage.
The opening scene of the character on the camel might have helped inspire the similar opening for Disney's animated Aladdin, 35 years later.
Pismo Beach, CA is indeed famous for its tasty clams. However, oysters (not native to Pismo Beach) produce pearls, not clams.
Saskatchewan, which is mentioned by Hassan, is a province in the western part of Canada. Known mostly for its flat, prairie lands.