Those "shall" are weird (I guess it's the same that happens to that "skall" of Swedish)
It's technically right but seldom used.
I think what you mean is: "What should I do?" "What will I do?"
"I must have it..."
It's not clear what "det" refers too here ...I think it could be the lesson, maybe that "det" is a misspelling of "dem", and in that case it is about the books. Could we ask someone, Hege?