So I was just wondering if anyone knew a manga were there were two guys who were together and at some point one of them figures out the other has a kid, they were in a park. In the end the misunderstanding is cleared up, that's all I remember, any hint can help too.
Maybe this http://www.mangago.me/read-manga/shinshi_to_norainu/bt/c006/pg-1/ (and the next chapter)

Does anyone know the name of a korean reincarnation story about a girl who specifically is reborn in a Korean-style world. A big part of the story is that the world is super patriarchal but the MC wins the love of the emperor/king, and she basically starts breaking rules about where women can go in life (specifically in education). I know it sounds generic lol, but it's an old story from when the whole reincarnated princess thing began.
This?
https://www.mangago.me/read-manga/they_say_i_was_born_a_king_s_daughter/
Yes, thank you!