I fight a pretty decent Tsubaki regularly. She's annoying but Habaya, Totsuka, and 5C are pretty darn good against her. She's stupid fast, so empty Habakiri is pretty bad against her, cause she can run past it depending on how close she is to the stein and counter you out of it. Your moves are slower than hers, but you also have better range. If you space yourself correctly you will beat her out every time. Basically, get to know the range of your normals versus hers, and stay at that range. Also know how far from her you have to be to be safe to throw out steins, totsuka, or habaya. If you guess wrong she runs up and hits you for free.
tl;dr: Tsu's real fast, stay far from her. Zone with ranged normals and totsuka.
edit: Oh, yeah...regarding Tager...don't 6C till he's in recovery after the move cause 6C is a projectile and Sledge goes through it.