Is free will logical?

If we [used undoubtable rationality to reach the undoubtable fact that God exists and much more existential facts](https://en.m.wikipedia.org/wiki/Kalam) , then we indeed have to use it as well to reach the fact that free will exists, or else, it isn't reliable for finding truth. Why I doubt that free will exists: - Everything has a cause except for God, so, with enough knowledge, we can predetermine the future, which doesn't apply to free will, which states that our choices are indeterministic; thus, it is illogical - I never felt that I have free will, I always find myself either driven into a choice or can't choose at all, I really have many choices inhand, but have to be driven into a choice, these are the factors on which my choices depend: - Previous experiences and knowledge - Biological factors - Genetic factors Is free will really logical or not? if yes prove it to me, else, show me on what matters logic can't be applied and why specifically these matters.