Choice?

Imagine if you took a snapshot of the Universe, documenting the position, energy states, vectors, rates of atomic decay, and any other factors of all of the particles within. Then you waited for ten seconds and observed what happened. If you were to reset each and every particle to its original position, energy state, time in its half-life, etc., would the exact same thing occur another ten seconds later? If so, would the two instances ever deviate from each other? If not, imagine this: Take the birth of the Universe as the snapshot, and all that has happened afterwards the result. If reset exactly as it was all those billions of years ago, would we find ourselves here again, doing the exact same thing? Would there be again a galaxy dubbed "The Milky Way" by the intelligent primates inhabiting a planet christened "Earth?" Is all we do and all that has happened simply the product of every influence we encounter, from the most devastating tragedy to the faintest tickling of wind on our cheek? Is there really any such thing as free will?