If entropy only increases, at what point was it at its lowest value? Non-physicist asking.
Assuming the origin of the universe of your choice: If entropy only increases, at what point  was it at its lowest value? Why? Was this value ever zero?
 A: The statement about increasing entropy applies to an isolated system. One should be cautious of speaking of "the whole universe" because it is not clear if we know how to reason correctly about that. But we can talk about the entropy of some very large part of the universe, such as the region known as "the observable universe" and that is isolated to good approximation. The entropy of the observable universe had its lowest value right at the start, at the Big Bang. But at a sufficiently early time the conditions are such that we have not built up a good understanding of what mathematical and physical ideas apply. So we can't say much about entropy at the very earliest moments. We have to say "don't know" or "understanding that is a work in progress". What one can say is that the entropy at a time, density and temperature when the existing Standard Model of physics is trustworthy was lower than it was at later times. And indeed it was remarkably low. The universe was somehow placed in a very special state by whatever happened at the Big Bang and the immediately ensuing period.
