Would that really matter? After all, you'd look totally different and you'd have no recollection of your previous life. Not to mention the age difference between your new self and your old acquaintances that'd keep you apart.
Well it could matter if we have some endpoint where we become beings that recall all our past lives. Plus I guess it would prove we have a soul which I would think mean something else but i'm not sure what. Maybe we someday would live so many lives that we start relieving our past lives in the distant future.
Jason