Your sources do a lot of dancing to avoid defining their principle ideas...
No they don't. It's just a very broad political viewpoint with a ton a varied opinions within it. No two anarchists will believe the same thing, and that's true for all political beliefs, which is why they're all like this and hard to define specifically.
Right away we have problems. The concept of free-association does mean there are no rules or protections. Not real ones anyway. Rules and regulations require an enforcement authority or else they are merely suggestions. You are free to make a rule and someone else is free to ignore it. What gives you the right to enforce your rule?
Mutual cooperation and direct democracy are ways to come up with agreed upon rules. Not everyone will agree with all of them, but it will be agreed that the majority want something. There will still be a need for enforcement, yes. That doesn't require a hierarchy. Everyone will be equal in voting and equal in how it's enforced.
If something does grant you the right or ability then that thing, whatever it is, is a hierarchy of power.
No, because everyone will be equal in its creation and decisions. A flat plane is not a hierarchy.
Yes, this is what I mean when I said "Anarchy [is] only possible if everyone engages in good faith.
No. People who don't engage in good faith will be removed by the cooperation of everyone else. Just like the" Paradox of tolerance" is not a Paradox, because it's based on a social contract and breaking it means you're no longer protected by it. The same applies here. If you break the social contract then punishment must be applied.
You are coming to this conversation with prior assumptions, not an open mind. I'm not an expert on Anarchism, but there is plenty of information out there that can answer your questions better than I can. I would recommend being open to the idea that your beliefs of what Anarchism are are wrong or what's the point?