Sorry, I have to disagree on a few point, no offense given :

1. Skuld will not argue with the mathematician in the university.  She would
   rather watch manga, watch TV, and invent something. 
2. Megumi do not live in the temple.  So I do not see why she will do her
   homework there.
3. Megumi is not a member of the Auto-club, she is the ace of the softball
   club.  Although she sometimes appear at the auto-club as a mascot girl. 
4. Urd will not do that kind of thing to Megumi.  She will find a man 
   around, maybe someone related to Plum ^_^.  

Ja....CuSO4