When you scale up to large molecules like proteins and DNA, they behave mechanically. Largely governed by forces of electrostatic attraction and repulsion.

Easily. Our will is implemented on the application layer.

Depends how you define free will I suppose, how much faith we place in probability being the limiting factor, and how far your imagination takes you in respect of the control we have over our realities.

This gets a bit murky if you are looking to ‘prove’ anything, but some look to quantum physics for example as an area of research that could mean anything is possible on an atomic level until observation fixes it’s position.

How this may develop and may be extrapolated to human control over their reality is open for discussion.

probabilistic IS NOT deterministic. I can predict what people will do in certain situations but I'll often be wrong.

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Well it would be worse if assumed everything happened deterministically.