This is really cool! I think how you've managed the time-loop here works well and it provides a strong amount of tension and mystery for players to unpack throughout the course of the adventure!
Aside from preferring slightly less vagueness with the rewards and solutions (which others have commented on), my only real criticisms are related to presentation, specifically in relation to how easy this would be to run.
As is, I feel the information is a bit dense and some of the character dynamics can be a bit unclear at a glance. (For example the prince and princess are twins, but this is only mentioned after their introductions).
Some diagrams for the core timeline, or perhaps columns integrated into the background to frame whether an event in a location occurs morning, afternoon and night. It would be easy to overdo the diagrams, but I think one or two would be great.
Just a little bit more work on layout or presentation would make this even better, as the context you've given for each day is really good. This will be really fun to play through and I look forward to dropping it into my game. Excellent stuff!