Will is the ability to have priorities and make choices with future results in mind.
What is mind?
This is just a simpler way of saying that the physical brain choses which neurons to fire based on how it has been molded by neuroplasticity.
How does the brain choose? Does it have a will as well?
Then we pretty much agree that choice is bound by what preceeded it. Any such choice is by definition deterministic unless it's random.
That is too vague of a statement. What we disagree on is the what that did the determining. You are saying it's a predetermined chemical reaction that the person has no influence over. In that sense, humans have no more of a will than a potato does. The only difference between us and the potato is that we happen to be conscious of an illusion that our brain is producing for us.