The logistics of reincarnation

Recently I was considering some additional, internal problems with reincarnation:

i) If accounting for how some people allegedly remember past lives is a problem, then there's the opposite problem of accounting for why most folks have no recollection of former lives. That vastly outnumbers the people who say they remember a past life. So that poses a dilemma for the reincarnational explanation. 

ii) Reincarnation poses daunting logistical problems. Consider the timing. On the one hand, new bodies only become available for souls to reincarnate at the moment of conception. Conversely, souls only become available when the host dies. 

Since the timing of when people die and when people are conceived is random, how is it possible to coordinate the transfer of preexisting souls to new bodies? If reincarnation is true, wouldn't there be shortages in either direction? Bodiless souls and soulless bodies? Souls waiting for a body to become available and bodies waiting for a soul to become available? 

What's the mechanism that synchronizes death and conception so that a soul is freed up at the moment of death at the same time a couple in some part of the world succeeds in fertilizing an ovum? 

In theory, reincarnation could happen between conception and birth. But there's still going to be a logjam or bottleneck since there's no correspondence between when someone happens to die and when a baby happens to be conceived. Those are causally and chronologically independent events.

And what about preemies? Moreover, we keep pushing back viability. So the window for souls to reincarnate a new body is narrowing.