I don't rule out the possibility of something like reincarnation, but I suspect it's an unfalsifiable concept. I am conscious now but am not aware of any previous incarnations of me, which leaves two options. Either reincarnation doesn't take place or any reincarnation is like a hard reset, i.e. returning my consciousness to the "factory defaults". Either way, death is effectively the end as you'd only be aware of the life that you were living at the time.
Now, if we accept the concept of reincarnation for the sake of argument, here's some speculative rambling. If two human beings have been inhabited by the same consciousness, then how many consciousnesses are there? Clearly it's not the amount of human beings that have existed in this case. Could there just be a single one? We can only ever be certain of one consciousness existing - our own. Anyway, this is all meaningless drivel as it depends on something being true that I suspect isn't.