Just my opinion, but at the "character" selection screen, instead of the arrow to begin I'd make two buttons. One would be for "Hatch a New Dinosaur!" and one would be "Continue Journey" that would be grayed until you've selected a character. I know this thread is just for words, but I can't really think of any without envisioning the screen in my head.
Edit: "Journey" of course would be switched out to whatever works best, "adventure" perhaps. Or it could just say "Continue".