From one perspective - yes reincarnation exists. But reincarnation exist within linear space-time (which is an illusion). What if someone were to tell you that you could access a life in the past, parallel dimension - present, or in a future, like going to a library? In other words all time is happening at once.

From the illusory perspective I was a Polish Jew working as an engraver as a part of the underground during the Nazi rule of my country (Poland) in 1943. I was captured and tortured by the Nazis and killed 3 days before my 50th birthday. I was reborn in the USA in 1951. It took 36 years to (spontaneously) remember almost the whole of that life.

I've had over a million past lives on Earth from our current reality perspective. But from a place of "no time" past lives are all happening now all at once. Of course my small ego self feels like a pretzel when trying to grasp this other larger present moment.

Also, I like you assume that I had a soul. While I have an incompleted lightbody tat once completed will have made my soul whole and complete. Then I will ascend to 5 and/or 6 Dimensional reality.