Are your memories part of you? Your memories today are not the same as your memories yesterday – today you can remember what you had for breakfast this morning. Your body changes, your knowledge changes, your memories change. You are not the same you even when you are alive. Being the “same” implies no differences and it is obvious that there are differences over time. In Buddhism everything changes, including ourselves. To paraphrase Heraclitus, "You can never step in the same river twice because it is not the same river and you are not the same you.
There is. A human is formed from three (name removed by moderator)uts: sperm and egg are the material (name removed by moderator)uts; a gandhabba is the non-material (name removed by moderator)ut carrying accumulated karma and memories from the previous life. However the gandhabba is not a permanent soul. It will not carry over into your next life; that will be a different gandhabba with different memories and different accumulated karma. Like everything else, gandhabbas are impermanent.
Buddhism emphasises change over stasis. Any stasis we think we see is an illusion, either our own internal projection or slow-moving change.
A quote from ‘Funes the Memorious’ by Borges:
Not only was it difficult for him to comprehend that the generic symbol dog embraces so many unlike individuals of diverse size and form; it bothered him that the dog at three fourteen (seen from the side) should have the same name as the dog at three fifteen (seen from the front).