Brave artist this man is.... and If I was Rinnosuke... I'd have done something else....

What's the point in changing "Gensoukyou" to "Gensokyou"? Now you have the same long vowel written both as "o" and "ou" in the same word.

There's really no point. "Gensoukyou" is more proper. "Gensokyo" could have also worked, if less so, but only because of consistency (shortening the long vowels).
"Gensokyou" is inconsistent, and thus is totally wrong.

I reverted the note for you.

Why is she throwing the hat for?

She's mad at how Rinnosuke didn't utterly take advantage of her and I think it's a japanese way of venting anger... (I seen a Miyuki pic where she's mad at not being able to sing a song she wanted so soon after she slamed down her glasses)

I've seen plenty of Western stories that also have an angry man throwing his hat to the ground. I'd say it's probably somewhat universal.

She seems angry that all he did was pet her and I think she went full vent when she realized she liked it, so it seems like the hat thing is just an act of frustration or anger

What I get from it is that she showed up with the intent to fluster Rinnosuke, but ended up being flustered herself by a simple pat on the head.

>YY: Throw hat down in disgust.

its because her head wasnt in direct contact with his hand lol