Are you going left to right then down, or top to bottom then right? I'm going with left to right, then down.
15 - This is just the first date with Luth, yeah?
28 - Hang out in Dir-Klou for a while, then Atzi will appear outside of her tent. Click her to start the event.
41 - Interact with Izuin more.
50 - Hang out in Kemeq for a while.