You can search by the date the player's account was created, player name and player ID. You can search by any combination of these fields you wish.
The ID of a player never changes even if that player changes his/her name. It can be found in the Profile Screen in the game under the heading 'Unique Account ID.'
Players listed in the Player Archive include active, inactive and deleted players. Any statistical changes to a player will be reflected in the archive at 12:00 midnight PST.