From my playthrough, I didn't have many issues. Frame rate slowed down at times, but nothing game breaking. Much smoother than the walking dead games on Vita.
In terms of investigate elements, yeah, there are some in the game and there's a bit of interactivity as well. The cool thing I liked was that through investigation and interactivity, you unlock little information on characters from the game. The characters are sorta twisted versions of classic fairy tale characters like snow white and stuff. Had no idea of that before playing the game so I was surprised.