No.
Yes.
You are making the presumption that time is universal.
No, but time is necessary for anything to happen, such as thinking and making choices.
We perceive time through our conscious awareness of this material world.
You will be consciously interacting within the time dimension of the physical world, but not necessarily existing in that time dimension.
Interaction is doing something and hence requires time. To the extent you do not exist in
a time dimension, you are incapable of doing anything, including interaction which requires receiving some input, doing something with it, and producing some output.
You can claim that you exist in a
different time dimension from the universe as a whole but that doesn't help at all with your contradiction. You've just moved the problem from one time dimension to another.
The ever present state of your conscious awareness...
...is still meaningless gibberish.
...will enable you to freely interact within this time dimension without being restricted by its limitations, particularly in relation to the time dependent deterministic nature of this material world.
All you've done is made up a totally meaningless phrase "ever present state of your conscious awareness" and then claimed that it frees you from a logical constraint. It's
literally as vacuous as saying "but souls are so magic that logic doesn't apply to them".
I am not claiming that such a scenario will be the absolute truth - no one can ever make such a claim. But I am illustrating one speculative example of how our human free will can be the reality we all perceive it to be.
Except that you haven't.
What's more, we
don't all perceive your nonsense version of freedom to be a reality - I
can't even imagine what such a perception would involve because it literally makes no sense. As I said before, it seems to be the most superficial and simplistic of assumptions that collapses into incoherence as soon as one thinks about it at all logically.
And
YET AGAIN: let's say you could actually define the "ever present state of your conscious awareness" in some way that made logical sense and therefore you did find a way out of the contradiction, you then
couldn't go on to claim that non-material souls would be needed unless you claimed to know
everything about the physical world and therefore could be sure that there was no possible way to achieve such a state through some (unknown) physical process.