Dropped in to point out you're arguably mixing up "free will" and "random actions" but see I've been beaten to it.
Also while ingenious the "rewind" option as explained I don't believe could be considered to prove anything regarding determinism because there is no way to prove that once the rewound time replays that from that point on free will is restored - i.e. I suspect your thought experiment doesn't quite hold water.
I'd also note that true free will as you seem to be implying it would require the power to exectue my desires - something a physical Universe gets in the way of. Due to the nature of our bodies and the options open to us to interact with the Universe our options are contrained anyway in terms of what we can do vs what we can think.
Interesting read though.
Try to be reasonable... its easier than you think...
