During the confrontation with Azure Kite, if you transferred data from the original .hack games, he will keep the same name given to your character, Kite. However if you named him any other name or say, "Bob" in the first four games, his name would be Bob as well during the fight. The name also appears according to how he was named in the credits by the name of the character's voice actor.
There was a Special Edition of Vol.1 from GameStop and EB Games stores taken only from pre-orders. The Special Edition of Vol.1 came packaged with an exclusive Haseo action figure (Haseo's 1st form) and a Terminal Disc (entitled End of The World). The Terminal Disc contains summaries of the previous four games and provide an explanation for what happened between the end of .hack//Zettai houi vol. 4 (2003) and the start of Vol.1. There are more features in the Terminal Disc that can be unlocked via save data from all three G.U. video games.
If a player converts the Save data from the first four games and .hack//fragment the game will unlock three emails; one from BlackRose (from .hack//Osen kakudai vol. 1 (2002)) that was sent to Kite after the battle with Corbenik (Meaning Haseo doesn't canonically get it) and another from Hokuto that was meant for Rena but mistakenly sent to Haseo. The last one being another from Hokuto (from .hack//Tasogare no udewa densetsu (2003)) apologizing for sending Haseo an E-mail meant for a friend. Because .hack//fragment was never released outside of Japan the English version only comes from the first four games.