You're what is aware of your body and mind. Your body and mind only generate sensations, stimuli, whether physically, mentally or emotionally. You're what's aware of them.
You’re sidestepping the transporter paradox, which I believe is substantially the same as that presented by Kurzweil’s projection.
But aside from that, and in context of my own life experience, it’s hard for me to say that “I” am some presence continuous with my youthful self, as it’s such a one way street, you know ... looking back. And a narrow street, too!