Hey, man, after a ton of practice games online with Unbreakable, I've come to the unfortunate conclusion that, due to lag and the tight execution on the majority of his combos, I can't use him in a competitive setting online. He's still useful in certain match ups (for example, against Jason), but you really need to be able to hit hard with UB when you finally connect with a regular attack or Parry. I still think he's viable offline and hopefully some people here can make him work online, as there are some awesome online tournaments happening.
Didn't want you to think I had forgotten about your request, and all the best with UB.