You could open a support ticket (email to firstname.lastname@example.org) and give them all the information you have, such as your account name (if you know it), the email account you gave, how you paid (last 4 digits of credit card), etc. They will want to confirm that it's really you who is asking for the password.
If you can, add a second email address to your account (if the first one is on your account) that is independent of Lunarpages (e.g., a gmail or Yahoo account). That way, if your account is down for some reason, you can still communicate with support via the non-LP mail address.
By the way, this forum is not the official support channel. There's no guarantee that they will happen to see a post on the forum. You should use the support ticket system for anything specific to your account (i.e., not a general question). And don't give out sensitive information on the forum... the whole world can see it!