Interesting post, but it doesn't seem to address the question "Is God Dead or Alive?" or are you arguing that the question is scientifically irrelevant?
Your statement:
I question practical science’s insistence that things that actually happen leave evidence.
seems to be more of what your post is about and not really discussing whether God is dead or alive.
If you want to discuss that the question is scientifically irrelevant, then it needs to be made more obvious in the title and the opening paragraph and your concluding statements.
If you want to discuss whether "things that actually happen leave evidence" or not, then the title needs to reflect that intent.
Then you write:
have two more questions which might seem to stray from the subject but, to my mind, cannot be divorced from a belief derived from empirical experience and observable reality.
So I need clarification as to what you specifically want to discuss. Left as is, I can see this branching off in many directions.
Thanks