For reincarnation to be correct implies that consciousness/soul is a discrete "energy pattern", that can exist outside of the corporeal body without degradation, and then settle into a new body ( when? at conception? at birth? at some other random time?).
Philosophically speaking, this could be viewed as dualism, one famous proponent of which is Descartes. Problem with dualism is this; We have never been able to measure or record this consciousness/soul "energy pattern". So, no objective or empirical evidence to support it. Very little explanation of how such an "energy pattern" could retain its coherence either. Precious lilttle anecdotal evidence, beyond some people claiming to remember past lives - so the "energy pattern" that constitutes this ID is somehow subsumed when it enters a new body?
Too many ifs and buts and speculatives. No such thing as a soul. Consciousness and our sense of self is an emergent property of the brain biochemistry and electrochemistry, and our uniqueness stems from memory and life experience. When we die, that all stops. Full stop. :)