I finished Ch 1, but towards the end, I realized I probably missed some stuff. By the point of no return, I had every quest with a green check mark except "A Full Schooling" and "Prince Pride" which had a crossed orange circle, while "Mirror Gift" had a grey one. 

I have no clue how they went unfinished and it is eating me that I left it unfinished to the point where I can't move on to the second chapter. So if anyone made a guide for the game or knows how to make sure those quests can be completed, my completionist anxiety would be very appreciative.