1) For #1, #2 and #3, yes (I understand "as the structure 'so~that'" to mean "as in the structure 'so~that'"). e. "that" introduces a relative clause modifying "crown".
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park sang joonAs a matter of fact, I have seen the structure 'too~that' on other sites several timesI would need to see the context of those other examples to judge. Offhand, though, I can't think of any valid examples of this pattern that could be seen as analogous to your sentence #5.
park sang joonI suppose it is ungrammatical but i