@Jonui It's fine, it's just that "target" has already been used in the Manga with a slightly different meaning, so it's confusing. Copying would be better, I guess, haha.
To answer your question on why Baku chose to duel in the very first game. Isn't it because Baku haven't made a deal with Tobita yet.
At that time, Baku don't know whether he's being target since Tobita could have lost in round 1, or he could have turn the same direction as Tobita in round 1, again, making him a target.