From simple logic.
None of your other questions matter.
If we admit divine intervention, can you tell me at what point it stops?
If you cannot, then no "fact" or "mechanism" in nature is safe from being replaced with the credulous "it's a miracle", from gravity and elementary mechanics to the ends of human knowledge.
If it can be a miracle, then it is a foolish waste of time to try to figure out the "laws" that may or may not apply the next time you try the experiment.
BTW- "simple logic" is an unacceptable answer. The alternative to "fact" or "mechanism" is not unexplainable "miracles." Your assertion is that because you can think of no other explanation, "naturalism" is all there is.
With that in mind, can you provide for me the molecular structure of an idea? Is there a chemical compound for love? Can you "see" the radio waves passing through your house? Can you see the wind? All of these are unseen, and yet very real.
Incidently, your explanation still does not account for "information"...it is not a physical element, yet it is there. Your "simple logic" does not account for the immense complexity found in DNA and the universe around you.
Your answer and explanation (more like question begging) is insufficient.
Never, you must honor your Creator instead of lying about His works. Science has never had a problem with God. Some of the greatest scientists have been devout Christians and they saw no problem between their scientific work and their religion. Reason is that science is the discovery of the rules and laws that govern the Universe not about cataloguing stupid fossils, an endeavor which has not benefitted mankind in any way except to help spread an ideology which resulted in the death of over 100 million people in the 20th century.