The email address you use does not affect your Lucky Day gameplay.
Your login information can only be changed by logging out and linking a valid Facebook or Google account. Your account balances will not be affected by this process.
Don’t have a Facebook account? You can easily create one by clicking this link: https://www.facebook.com/
Don’t have a Gmail account? You can easily create one by clicking this link: https://www.google.com/gmail/about/#