Alan,
Could God's will be a factor which is able to invoke quantum events?
It could be but there is not the slightest evidence that god is a factor in invoking quantum events'.
Could this explain how the unfathomable complexity of human life came into existence?
It could be, but again there is no evidence of god involvement, and rather a lot of evidence that human life evolved from much simpler forms of life. There are many ideas as to how to define life and how it began on our planet. One intriguing one was the subject of an article in yesterday's Guardian:
https://www.theguardian.com/science/2019/jan/26/i-predict-great-revolution-physicists-define-life-paul-daviesCould God have enabled human will by giving our spiritual soul power to invoke quantum events in our physical brain?
It could be but again no evidence of a god being involved. Also there is no evidence that such a thing as a soul actually exisrs. If you are interested in this, it is worth reading 'Life On the Edge' By Jim Al-Khalili and Johnjoe Mc Fadden where the idea is suggested that quantum mechanics has a direct result on consciousness. (based upon the Roger Penrose idea that the mind is a quantum computer).
Could this explain the reality we all perceive in being able to consciously invoke acts of will?
If by this you mean could the existence of a god explain why we see ourselves as an entity who can carry out acts of free will, possibly, although by just suggesting a god being involved is no explanation at all until you actually give a detailed explanation on how he/she/it actually allows us to 'consciously invoke acts of free will'.
Finally, every one of your questions is dependent on there being a god , and as there is no evidence for the existence of any god, then your conjectures fall at the first hurdle. The only answer that I could give in each case to your questions is 'possibly' but I see no reason to take up your ideas as they seem to me to be pure conjectures with no evidence whatever to support them.