Hinata / Heaven's Dance of Hazy White (support Sky Palm Thrust)
Neji cause he has fast attacks, has the Substitution tag and has Byakugan, witch takes foes chakra when you hit him and increases speed. Tempest Dance is great when your opponent uses Substitution to get behind you, if you manage to do it just before that, it is almost sure to hit ;D. Does good damage too.
Shikamarus Shadow Posession is good cause it can't be blocked (can be evaded). He has some great combos as well as the Strategy Mode, witch is useful for Shikamaru, since he uses a lot of projectile attacks.
Now I don't know why you put Hinata in the Weakest team. She's at least as good as Neji. Or even better. She also has pretty fast attacks, has the Chakra Seal tag (witch is great since you just pound away your opponent cause he can't use Substitution), also has the Byakugan and her jutsu has the same thing as Neji's Tempest Dance.