I almost forgot In fact honestly I did till I remembered, because of the hint Walk around downtown go to the explore, and you'll be looking for an indication that you smell smoke Take note of the directions it gives you and then go to them That will further some of your progress when it comes to events inside the Nexus with the council members.
To skip time if you really need to go into your bedroom and you should see the option to wait until the next time period Do that until it's time to go to sleep and then sleep. You may also want to check the hearts to see if there's any progress to be had with any of the other girls, Check your evidence, and go talk to Gramps (This right here is most likely what is needed since If I remember correctly when you do that your character informs Gramps as to her having ties to the beast which triggers dialogue with him telling you what to do next)