So I didn't check the achievements until I was partially done with the quests, and I had already saved Princess. When I did it, I didn't try to hide or anything, and she saw me. Is there any way to redo these quests, like maybe they reset every day?

I was also wondering this, because I got 3 of the purple furnishing banners. I wouldn't have minded one, but three was kind of disappointing. Is there any way for me to get another shot at the gold items? When using the pie and killing world bosses, do you get drops like the Halloween event?