Also, keep playing your online ranked matches and get as many points as can get. Even if you don't own the top spot, if the members listed above you are a no-show, your favorite character could still be yours to play in the tournament. As of last Friday, 18 different members are controlling the 39 characters, but I don't expect all 18 members to show up. Any unclaimed fighters will automatically forfeit their match.
Final full day for Battle Points will be this Saturday (June 30th), as final numbers will be posted Sunday morning. Another update will be posted with Friday's weekly roundup.
Good luck!