I believe you’re referring to Ibsen’s A Doll House. It is quite a play, although I don’t care for the ending, despite the door slamming being a deep cultural-impactor.
1) We’re supposed to be equal, but yes, our society is female dominated. Might seem strange to a human, but then again your male dominated society is terribly foreign to us.
2) I’m happy you find joy out of the little things in life!
3) Guess you should go ask an engineer then, huh?
Boink!
4) Something to remember is that cutie marks often carry deeper meanings. A crossword puzzle cutie mark likely points to a talent for all sorts of puzzle or problem solving, not just the crossword variety.
5) No. That’s just a hateful rumor that foals who have their cutie marks spread to pick on those that don’t.
I don’t know of anypony that’s ever reached young adulthood and didn’t have their cutie mark. It just sort of happens.
6) That’s the one! I figured if anypony would know, it was you! Thanks!
It’s a pretty rough ending, yeah. And it leaves the fate of the children up in the air, if I recall. But that’s sort of the point. Nora was no more a hero than any other character in the play.