They do papa they do.
1. Pet Auctions need to disappear after they are closed. If there are no bids on your pet, you get your pet back immediately. If you bought a pet through the auction it needs to go to the person right away and disappear from the "Your Bids" section.
2. When you click the "My Auctions" link, it should really show you your auctions and not the pets on the view auctions page. It's a little irritating not being able to find your pet quickly. Even if you use the search I still say the button should work.
If there is anything else I may have forgotten about the pet auctions, you guys should post it here. C: