Looks like I ran into some sort of bug. After coming home from school during day 3 I left the house and checked out the park, the gym and the mall. When I got back home I could not leave again and there were no actions I could do to advance time, so I was stuck.
Actually, I managed to restart and repeat the bug once when I did those same actions and chose to walk around (which takes time), but when I tried again it didn't happen, so I might be forgetting some step to reproduce the bug.
One gui image (the green progress bar thing) wasn't loading coorectly for me, and I think at least one NPC image didn't load once.
One thing that was a bit annoying was about the very first choice in the game. If you choose not to peek at Kelly after helping her in the first day, the game still looks like it treats things as if you had peeked - there is the option to talk about what happened and the foot massage and all with a school girl during lunch and the hint to "talk to Kelly about her actions" looks like it's about that, even if it never happened in that playthrough...
Finally, there was something weird about the tip to invite Melinda to dinner. I never found the option to invite her and the tip disappeared.
Don't get me wrong, I like where this game is going and hope it goes forward and I get to play more of it, I'm pointing out what look like bugs trying to help.