Ander Andersen: " If the demonstration of something is needed to verify it's factual correctness or possibility,-- I consider the attempts to replicate abiogenesis crucial, but in MHO success would only prove there needs to be an agent to do it, no matter how remote the "operator": In the same way I consider the proton accelerator experiments to be feelers to probe into the beginning of the universe's mechanism, not spontaneous events either.
The known natural laws break down in black holes. or white holes, where movement through time ceases. so it is wrong to reason about the pre-beginning BB realm in terms of those laws, like causation, the laws of thermodynamics. It is only since the " Big Bang" that matter is moving through time. so,if there is no movement, why should there have to be a beginning? an acceleration from Zero for any pre-Big Bang entity like the creator?. Therefore, while, your 6 constraining questions are based on conditions in our universe that is expanding through time, can I just have a try at the ones I see as relevant?
2) "god" is not alive in the organic sense, not acting , not tinkering now in the way defined by Newton, all potential is build into the original creation event. To us limited observers, they could forever appear self-generating, but are not because the inherent creation properties. a la Penrose.
3) divine? possibly not a good term. creation can be considered non-religious.
1. eternal implies no start. no movement through the time dimension.
2. as a deist, a worker, I believe there is a creator.
3. Once you enter ( in thought ) the pre-big bang realm, without our 3 dimensions, all the potential energy of the void, no movement through time, there is no difficulty to deal with the non-beginning of "god" questions.