I recommend you to load another saved file... The time of the game only advances in real time when you travel through the desert, in the other cases, the time advances when you change map or by means of some event or cutscene.
As for the sexual content, and seeing where you are, it takes place in Shura's apartment.
As you improve your relationship with the girls (through gifts for example), they will be unlocked as you advance through the game.