Yes. It seems to me the honest answer to these questions is that we do not know. Science can only lead us as far as our powers of observation justify. Our observations justify our theory of the Big Bang but tell us noting about what led to it. Indeed, as I understand it, spacetime had no extent before the Big Bang so asking what was "before" it risks assuming that time and space existed before it, when they may not have. Local entropy decreases occur all the time during physical and chemical change (e.g. formation of a crystal from a liquid). What one never sees in any spontaneous change is an overall decrease in entropy, i.e. when the entropy change in the environment is also taken into account.