1.) I think that if an app says you gain x amount of stars, then you will get those stars, but I don't know if you need WiFi to add x amount of stars to your account. Most likely you shouldn't need WiFi, but your question is a bit odd and tricky for me to answer.
2.) Unless Fantage adds something big, like a new area with new games, or a new way to use your pets, there probably will not be any medals that have never come out before except the event medals. And honestly, nobody here can read the minds of Fantage's head staff, so there's no need to ask us what the Fantage staff is thinking about. Remember that this forum was created by a Fantage user, not the owner of Fantage.