The information you need is placed there, you just had to read a little more:
# In order to access the “Ancient Ruins” you will need the “Magic Lamp”, found in the Academy of Magic. In order to enter, visit the Priestess and learn a new skill. (Note: You can only get this ability on the third day. Not before.)
# To get the 2 intermediate scenes on Day 3, try to visit Doctor Nora's Clinic, you will be able to enter Melinda's room. Like the Doctor, she will be able to cure you. (For now, they are only tentative dialogues I plan on having its own scene just like with the Priestess.)