Well actually two.

1. Is it ok that my shops don't have their names there?
2. Is it ok that my pets don't under their pictures? (It's on their profile just not on my own)

1. If you're talking about on your profile, yeah it's fine.
2. your pets don't what under their picture?

Yes to both questions. You are not required to put pet or shop names on your profile.

Thanks =) cause I couldnt figure out how to do it after i changed it lol