The quotation thing is a little messed up there.
The statements regarding "anti-causing" don't work. You can define any cause in terms of there not being something to prevent it, i.e. the box didn't move because I pushed it, but because someone wasn't pushing on the other side. Radioactive nuclei emit particles when the forces attracting them to the other particles in the nucleus become weaker than the forces pushing them apart.
Extremely unstable nuclei might (such as those formed in nuclear reactors), but normal radioactive decay occurs when a particle "tunnels" through the potential well around the nucleus to the higher potential outside it. The particle doesn't actually pass through the intervening space at all, it simply moves to a new place.
Quantum mechanics is a way of statistically describing processes that we cannot observe without interfering with the system. They do not track all of the forces acting on a given particle at a given time, nor can they track the progress of a single particle.
Quantum mechanics is the fundamental description of how everything behaves. Macro-mechanics is a statistical aggregate of the effects of quantum mechanics. Also, nothing can track the progress of a single particle, because the uncertainty in its position multiplied by the uncertainty in its momentum is always greater than hbar on 2. It is either spread out in space or time.
If the only thing required for a universe to appear is nothing actively preventing it then why aren't more universes appearing every instant?
There probably are but, being universes, we can't directly observe them. We have no more reason to believe that gods "just appear" than universes do.
The problem with applying the second law of thermodynamics to quantum physics is that a quantum system is not a closed system. A local decrease in entropy is allowed, so long as entropy increases elsewhere.
The only thing that keeps the second law of thermodynamics in quantum systems is a large enough 4D volume under consideration, because the second law of thermodynamics is a statistical law and not a physical one.
That the Big Bang started as a singularity is irrelevant, since entropy would have to increase before the universe could reach that state.
And as I explained, entropy would still be increasing, because black holes have more entropy than is lost by absorbing their component matter.
Again on the second law of thermodynamics and how it affects the Big Bang, no there couldn't have been time before the Big Bang. When all of the matter in the universe was condensed into a single point this was the absolute minimum entropy possible, and since entropy must increase over time there could not have been a "before the big bang".
You should tell that to Stephen Hawking and the other physicists who have demonstrated that black holes, despite being a singularity, do not have a small entropy at all but a large one.