Yeah I meam, it doesn't check if any quests is completed or it's progress but just some aggregate of variables here and there. Without re-designing the entire things
(which makes no sense) we can't really do much more tbh.
Maybe a bit of UI update to be more pleasing
As for Questlogs:
We have a “Q” after the girl names (home screen, right column).
This shows, when there is a quest open with this girl.
As some others mentioned already, it would be nice when this “Q” would be always visible, not only when the girl is rested and ready to fight.
I use a lot the “energize” spell to bring fighters back to fights, after 2, 3 or 4 days of resting.
Then it is useful to know which fighters have quests.
Optimal would be to have another letter for the kind of quest. A "T" for temple, "Ch" for chateau …