^ Partially correct. It will tell new stories mixed with some existing stories.

In relation to The Lord of the Rings and The Hobbit, yes, the Amazon show is a prequel. There are a few characters that appeared/were mentioned in Peter Jackson's films, some canonical characters, and some non-canonical characters.

I hope this story isn't canonical, it's incredibly inconsistent with its rules and portrays elves and humans in nonsensical ways. The characters are incredibly dumb, often leading to terrible decisions that wouldn't make sense yet solve everything. The sun never burnt orcs, they only don't like it because they were created in a time before the sun and all they need to do to stop burning is to put on some clothes which for some reason only works half the time.

^ Do you understand what it means to be canonical?

Canonical with the films is different than the books. If it's the same universe as the films than it's canonical with them. They can't be canonical with the books seeing as it contridicts many parts of the established lore.

There is no such thing as "canonical with the films" unless someone who worked on the films (preferably Peter Jackson, Philippa Boyens, or Fran Walsh) says it is such... fans can't say what is canonical to something they didn't create.

I think a lot of people are trying to determine if the films and RoP take place in the same continuity, and there hasn’t been any kind of official answer one way or the other.

Well we shouldn't throw around the term "canonical" and mix it up with continuity, since they aren't the same thing. There also doesn't seem to be anything in TRoP yet that shows it has continuity with the Jackson films yet, except that some characters share the same names.

we will be that the series is a different continuity than the books and film as soon as there will be a different in the books of the genre if the fall of Númenor does not occur and that Ar-Pharazôn dies before violating the interdiction of the valars

I wish people would stop bringing up the films and continuity. We won't know until we get to the end of TRoP and its last season.

There are many ways that TRoP violates the existing timelines and the showrunners said they were going to mess with the timeline. They were gambling, I'm guessing, that their timeline would be compelling to non-Tolkien fans and acceptable to Tolkien fans with knowledge of the Second Age timeline.

I don't know about others, but I don't like how they've handled the timeline for Galadriel especially, but the Celebrimbor/Eregion timeline changes aren't great either.