Here's my suggestion:
Day One should be Day 1, not day 2, Day 3, or more...
That being the case, Day 1 should be sufficiently announced so all interested parties have the opportunity to come in on Day 1 if they want the Day 1 badge. By sufficiently announced, I mean the announcement should be posted on in the Forum, on Facebook, and in Twitter.
In addition to the day 1 Badge, that day only the players should get a Black Mickey Ears hat, a Dream shirt, Green Baggy pants, and Green Flips in their wardrobe when joining. Once the game is in Day 2, those garments would no longer be given to new players. They could trade for them at a later period if they want them.
The Beta Badge should go to all players participating in the beta version of the program. Once the game is out of beta, that badge is no longer given to new players.