That's a lot of questions, much of them the classical ones. I think we enter into even more difficulties, instead of less problems, if we start doing the transportation experiment, in which .01% of you isn't the other person, but that 0.1% happens to be the real you.
We have very different ways of thinking about the self and consciousness which need not fall under the "materialism" of science, which is a misleading term, I think. Ok, so let me try to answer one of your questions:
When you wake up are you the same person as yesterday? First, I need to ask, is this a factual question? It's not clear to me that it is. For if we say "yes", I am the same person as yesterday, yet I'm slightly skinner and some of my cells have changed or died off. So yes, I'm the same person except in those parts in which I'm not. But I don't know which parts of me have changed, it seems to me that I'm exactly the same person I was yesterday.
In other respects, we can, if we so choose, act as if from *now* on, we will be completely different. So we can speak of yesterday's me, and the me from now on. I'm certainly not the same as I was when I was a child, but I'm similar in some respects. It seems to me that the self refers to many phenomena which we mistakenly take to be one single thing. It probably isn't. It includes many facets which fit under one theme "self", but if we take one aspect apart, the concept falls apart.
It's a bit like a country. A country isn't it's borders, it's its flags, it's citizens and so on. But if you move the border, you are standing outside the country. Likewise, if you change the flag of the country, you aren't speaking about the same country before the new flag. Same if totally different people displace other people, then the country isn't the same and so on.
That's my guess, but it's an extremely hard question.