Muzzle tough is a pun on the Hebrew- and Yiddish-language phrase mazel tov, which means good luck.
The formidable bulldog and Tweety both break the fourth wall with the immortal line, "I tawt I saw a puddy tat!"
Granny lives across from a business with the name R. H. Lacey & Co. This is a pun on the famous NYC store, Macy's.