My view is that physicists are making this idea of time way harder than it needs to be. Specifically, my comments are:
1. I may not be understanding this correctly, but do physicists think that the equations of physics work fine when time runs backward and forward because they can put negative numbers in their equations and still get some result? To me, it seems like just because a person can change the sign of the time variable in an equation doesn't mean that time itself runs backwards. The equations involving time and time itself are two different things. An analogy might be if I have the word "house" and find that I can say the word backwards just fine, "esuoh", but this doesn't mean that a house actually can turn into an "esuoh".
2. To me, time is not fundamental. It's just a function of physical things happening (e.g., physical change/events happening). If there were absolutely no physical change in the universe, there would be no time. This explains why time is moving irreversibly from past to future: because things, or events, keep happening. To go from future to past, there would have to be a reduction in the number of things, or events, that have already happened in the universe. This doesn't occur. Even if the events of a process look like they're happening in reverse, like if a broken cup spontaneously reassembles, this doesn't mean that time is going backwards; it just means that additional physical events are happening that reassemble the cup and that happen to look like the previous events going backwards. But because physical change is still happening as the cup is reassembled, and the number of events is still increasing, time is still moving forward.
As to why there was very low entropy (disorder) at the beginning of the universe, this makes sense to me if the universe started from a single existent entity which then somehow proliferated to produce more entities that are in our current universe, there would have been initially a very low amount of disorder as well as a very low number of changes/events at the start of the universe. Starting from one entity seems to me to be the ultimate in unification, which is what many are after.
3. I find it ironic that physicists like to dabble in fields they're not expert in, like why humans perceive things and what consciousness is, but if experts in those fields like to dabble in physics, physicists call them crackpots.