1. You have to click the bank button (the bag of money beside the sword) that's up there, and then click the "Reiflem Storage" button.
2. Click the "Human Avatar" button on the navigation bar on the left, and then click the "Your Wardrobe" button that shouldn't be that hard to miss. You can also change the appearance (eyes, hair, etc.) after clicking "Human Avatar".
3. Pets in your showroom won't die from hunger, and they don't age, too.
4. If they're in your showroom, then no you don't have to feed them.
I hope I could help ^^