Harry’s conversation with Hagrid makes no mention of school fees; any discussion they have over money is about how Harry will be able to buy supplies.

my bad, you're right. but then it's illogical. if the school is financed by the Ministry, what is it taxes-wise for wizards? if there is a way Ministry makes money on the side, then whole economy shouldn't work at all. if they don't and it's some... i don't know what exactly but then why Weasleys struggle?

This doesn’t match up with what we get in the books. In OOTP, for example, the Gryffindors have four classes on Mondays - History of Magic, Potions, Divination, and Defense Against the Dark Arts

it's very inconsistent throughout the books. they barely learn anything if we look at how subjects are structured. there isn't much to teach. i believe those things were inconsistently added for plot reasons.

Students pick up extra subjects in third year, not second year.

yes, this defo my bad, i will fix it.