Answer:
Those with eyes bigger than their stomach will definitely leave the restaurant with one of them. It is named after a house pet as well.
Small edible creature from the sea that is often served at restaurants.
I'm not a pet with long floppy ears I just share their name when a ship disappears. What am I?
I have a pouch on my belly where I carry my babies. I hop around Australia. What am I?
What has a horn but does not work?
I fly to any foreign parts assisted by my spreading wings. My body holds an hundred hearts Nay I will tell you stranger things when I am not in haste I ride and then I mend my pace anon.