Confusing for users

If I don’t add an entry action, it says “0 Ways to Enter”, but I hope that’s not true because users should get one chance to win by simply by entering their email.

If I add entry actions, it becomes confusing for new users because there are too many buttons to choose from.

I would prefer to only show the “Login with FB” and “Use your email” buttons to new users, then show additional entry actions after they sign up. Is it possible to do that?