Does the third, and final I think, trade end with the end of Puckett's run on the book?

If so, is it a satisfying ending to the ideas and arcs Puckett started?

If not, is anything outside of Puckett's run worth reading? I've heard mixed opinions on most of the other pre rebirth/52 stuff. Loving her in the current Detective Comics run though.

Anyway thanks in advanced for any answers.