Rewinding the tape wouldn't change anything. You would have to interject something to create different results.
I picked both. I certainly think we make choices and all choices have consequences. Actions reverberate and create ripples, effecting our surroundings. That essentially "pushes" things in a certain direction. I think that looking at it like a math equation, eventually the numbers will add up and you may be able to predict the end result. But variables periodically dropped in change the overall outcome.
If you want to use the VCR analogy, imagine having a TV show recorded. It has a determined beginning, middle and end. If you rewind it and make a change by recording something else halfway through, you have now altered the rest of the tape. Continually doing the same thing at various points will make for a very interesting result. Another interesting thing to note is how if you go to a random point on the tape and say record a segment that is shorter than the remainder, the rest then switches back to what was previously recorded. That raises the question about whether dropped in "variances" would ultimately alter the end result. This reminds me of a time-travel theory I read about in one of the Terminator books, that changing the past creates a split. Both strands might over time attempt to combine again and return to a single linear stream... but that gets into a whole deeper discussion.
So yeah, in short, I picked both... just because.