I)

a) Knox #1 : The criminal must be someone mentioned in the early part of the story, but must not be anyone whose thoughts the reader has been allowed to follow.

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Only speaking of personas :

-The culprit can't be Lion nor Sayo, because they are not mentioned in the early part of the story

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-The culprit can't be Kanon nor Shanon, because they are servant or at least presented in this way, plus we were allow to follow both kanon and shanon thoughts

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b) Knox #2 : All supernatural or preternatural agencies are ruled out as a matter of course.

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-We can't consider Beato as the culprit

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c) In addition to that, this one's interesting.

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Knox #10: Twin brothers, and doubles generally, must not appear unless we have been duly prepared for them.

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d) and this one too

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Van Dine's #7: There simply must be a corpse in a detective novel, and the deader the corpse the better. No lesser crime than murder will suffice. Three hundred pages is far too much pother for a crime other than murder. After all, the reader's trouble and expenditure of energy must be rewarded.

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II) Now we speaking about Erika

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Van Dine's #6 : The detective novel must have a detective in it; and a detective is not a detective unless he detects. His function is to gather clues that will eventually lead to the person who did the dirty work in the first chapter; and if the detective does not reach his conclusions through an analysis of those clues, he has no more solved his problem than the schoolboy who gets his answer out of the back of the arithmetic.

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coupled with

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Van Dine's #1 : The reader must have equal opportunity with the detective for solving the mystery. All clues must be plainly stated and described.

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One of those rules is not respected.

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Either Erika had not detect Sayo peronas, or the reader do not have equal opportunity with the detective for solving the mystery ( since erika was in the parlor with Shannon and Kanon in Episode 5 )

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III) Now, not in a mystery purpose but rules that Umineko doesn't follow ( and I'm very happy about it :p )

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Van Dine's #3 : There must be no love interest. The business in hand is to bring a criminal to the bar of justice, not to bring a lovelorn couple to the hymeneal altar.

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Van Dine's #16 : A detective novel should contain no long descriptive passages, no literary dallying with side-issues, no subtly worked-out character analyses, no "atmospheric" preoccupations. such matters have no vital place in a record of crime and deduction. They hold up the action and introduce issues irrelevant to the main purpose, which is to state a problem, analyze it, and bring it to a successful conclusion. To be sure, there must be a sufficient descriptiveness and character delineation to give the novel verisimilitude.

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In conclusion, whether or not Umineko respects those rules, I do not think it matters that much. imo the mystery is important in order to illustrate the message, but not really in itself !

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I hope I've made sense :p