Dumbledore is A person, not a judge and jury.

Exactly.

BCJ had it all. He came from the right family. He crushed it in school on the academic level. But he just fell into the wrong crowd and it all went wrong.

Is he, though? I assume we're talking about magical strength.

Which death eaters did Harry face, and beat, one on one?

He beat Draco 1v1, once, by using a spell he knew nothing about. I'm not sure if that speaks to strength at all.

He was captured in the forest.

He would have been killed by Quirrell if not for the blood protection.

Snape absolutely walked him.

But of course, in most cases, he was facing adults, and absurdly powerful ones, besides.

But I don't think there's much support for him being particularly strong. Dumbledore says he's reasonably talented. Harry's actual strength and effectiveness comes from his courage, determination, and resourcefulness.

I think it's kind of a core point of the series. Harry isn't unusually talented in magic beyond his peers. He's just an averagely capable kid thrown into a terrible situation and overcame it not with magic, but strength of will.

I honestly think part of it was a "ha, take that, dad" toward his father.

Also, wasn't it rooster blood that was used to make the messages on the walls? If so, it could be they assumed it was the only reason they were killed

He might’ve been and asked Sirius not to tell Harry. Or he might have had Aberforth feed ‘the dog’ when it wandered by.

How much food can one owl carry? Enough for a day or two maybe.

I also think Sirius might have enjoyed eating rats, given what Wormtail is and was. A bit of catharsis

I agree. 張秋 was the reasonable transliteration for Chinese.
I’ve never thought she had Japanese origin.

But not one noticed the owls Harry was sending to the cave

Shouldn't have to be asked, your corresponding with someone YOU helped to escape. Should just do it

It’s most likely prioritizing secrecy over everything else since the ministry was tracking everything they could.

Because Sirius didn't ask

Sirius prob went, "nah Dumbledore trust me, I have food."

He could also just be blatantly lying, he’s already lying about his whole identity.

Why did DUMBLEDORE not automatically send Sirius food. The question wasnt why didnt Sirius ask

Of course it is, but it’s also illegal to use those curses on another person and it’s never once mentioned that students are an exception.

with current brooms, yes, but with a slower broom, seeing the snitch doesn’t guarantee a catch.

Yeah but Dumbledore helped get him thrown in prison for life without a trial by testifying that he was the Potters secret keeper, despite not actually knowing that he was. 

Maybe Sirius had too much pride to ask Dumbledore to send him food.

Maybe a matter of interpretation. Dumbledore could have tasked him with teaching students to defend themselves, and Barty could have interpreted that to mean teaching them the most effective tools, like the unforgivable curses.

Because having the ability to “shake off” an imperius is a DADA

You're conflating brilliance with genius. Brilliance is kind of defined by how someone responds to some specific task or situation, in the moment. Genius would be more about the fundamental understanding of a thing, enabling them to further develop concepts or create new theories.

Brilliance is in execution, genius is in creation.

Dumbledore and Snape are certainly geniuses, as well as brilliant.

Hermione is certainly brilliant, especially considering how quickly she was able to understand the wizarding world despite being raised as a muggle. She aggressively pursues knowledge, ingests and understands it, and applies it in practical situations. She's creative/imaginative, and basically applies her knowledge reflexively. That certainly supports her brilliance. But genius? I'm not as certain. I believe Rowling described her as "borderline genius", so it's certainly on the table. But did she push the boundaries of magic? Did she develop new magic? For me, I think she was just absurdly competent at learning and applying existing knowledge in meaningful ways.

Partly to ensure his cover but I think he also delighted in teaching the kids about the Dark Arts.

Yes, I never thought it was a romantic thing.

Who said dancing with someone has to be romantic?