I believe that error is because at some point you got an event that directly jumps to morning, thus skipping the night event (the baby hatching event is in night period). I'll need to take closer look on how to prevent that from happening...
Viewing post in Finn version beta changelog! (Ver: 1.0.4) comments
You can try the latest 1.0.4 version. I forced it so that if you missed that night event, the event will be triggered the next free night time.
As for the cheat, no, that shouldn't be the case. If you have romanced Moocha before, the cheat screen should show up when you start the new playthrough and save data should be persistent across all versions.