1. I'll give ya the mirror scene. I can't seem to find a clip online, but hard to argue that one.
2. Killing her mom was self-defense, not self-loathing.
3. No, Carrie was freaked-out that she was bleeding cause she didn't know about menstruation. She eventually was a bit embarrassed about the whole situation, but that's not self-loathing or seeing oneself as ugly.
"it seems that Carrie's constant imbalanced relationship with her mother creates in her an extra-sensory sensitivity towards social expectations". I'm not sure I know what you mean by that, particularly: "an extra-sensory sensitivity towards social expectations".
It interesting to discuss. But I should say too, Carrie and TCSM aren't really coherent stories and characters to begin with. They've certainly affected the collective subconscious, but, I think, in independent scraps, rather than as coherent wholes.