I can't really comment because according to my T I havent developed a proper "self" yet or something.
But from what I have read/heard/etc I would have thought the core, authentic self is the collective of all your parts, as a single entity. Defense mechanisms, memories, habits,hopes, fears, dreams, mental illness, the whole she-bang rolled into one big ball. And that big ball is your "self". It is the whole package deal.