And not a word about completing “A Favor for a Friend”, before move to a next "For the Advancement of Learning" quest. It's simple, but worse mention, I think?

"Agree to help her to complete “A Towerful of Mice” and start “A Favor for a Friend” ."

Just to add, when you exit the hut, Pellar will tell you about the ritual that is supposed to take place on Fyke Island, which will start the "Forefathers Eve" quest, which is described in the next part.

"Ignore the stairs for now… the ones up, anyways, and go through a door north of the blood"

North door is locked. You need door east from the blood spot.