Yes, the probability of obtaining a sample is relevant only to anything when that particular sample is identified beforehand as the target. You can't do that in your model. You cite lots of analogies in which that information was provided, but then beg the question that they are just like your model. The only reason you can give for yourself being the target is that it was chosen. That commits the Texas sharpshooter fallacy, which it's clear by now you don't understand at all.
No.
It doesn't have to be "meaningfully" set apart. It can be arbitrarily set apart. I can invent my own hands for poker, as long as we all agree ahead of time what those hands mean. The don't need to employ the patterns of colors or pips. They can just be whatever I want them to be. They acquire meaning only when I give them meaning. The key is that they have to be set apart before we start playing. In your allegedly corrupt lottery example above, it is not the nature of the relation that is the problem, but that the relation existed prior to the lottery and so could be said to have affected it.
Once again you're ignoring why the Texas sharpshooter is a fallacy and arguing that significance or evidence arises in nothing more than what you read into the problem after the fact. If you can't see why the Texas sharpshooter fallacy is a fallacy, then you're simply not intellectually equipped to have this discussion. We've been more than forebearing.
Get used to hearing this. It's been said up-thread, but it bears repeating. You are different in some respects from every other human being, but it is not material to the issue at hand. There is nothing to suggest that you are not the precise result of physics, nor that it won't wither away just like any other human.
In materialism, consciousness and self-awareness are properties. They arise from the physical organism, when that organism is in proper working order and meets the criteria for emergence. Your utter insistence that self-awareness must be a soul under all theories has been a five-year annoyance. You are clearly unable to see beyond your own belief, and clearly unable to grasp other theories, even to refute them. You have a very limited vision when it comes to this problem. You simply cannot think outside your trench, and it's time to own up to that as the reason you fail at philosophy and mathematics.