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Your post contains 25 lines; 4 problems; each problem has from 4 to 5 questions.
It is MUCH MORE than any reasonable person may allow to himself (or herself), if he (or she) is in healthy mind.
There is THE RULE in this forum:
ONE and ONLY ONE problem/question per post
I repeat this message practically EVERY DAY; sometimes several times per day.
But still some visitors ignore it . . .
I just tired of it.
This time I will make DIFFERENTLY: I will redirect your post to the TRASH SECTION.
I will do it in such a way that further use of this post will be impossible.
I think that this action will explain the rules of this forum to you even better than all my appeals.
// It is better to do (to make) something one time, than tell about it 1000 times . . . //
So, please accept my condolences.
And MEMORIZE please: those, who violate THIS RULE, work against their own interests.
With it in mind, welcome to the forum !
P.S. Moreover and furthermore :
If I see similar post of infinite dimensions one more time,
I will redirect it into the TRASH SECTION without any explanations.