It's recommended to do the pending night quests and event quests at this point since doing the next scenario will immediately take you to chapter 3. After the scene, the Night Activity will be complete. You'll also get a prompt that the “light from the Dream World is peeking through” and you have to check it out. (Doing so will start and complete the last scenario of this chapter)
Talk to Lloyd twice to enable the Trade Merchant menu in his shop. This option allows you to spend Libra to send Lloyd's contact to any part of the world to obtain rare items. The time it takes for the merchant to return and the cost of the expedition depends on the location.
Talk to Professor Alucard to start his Friend Hunting and Spider Bride scenarios. The spider bride is located in the area north of the Market Station door and the event will trigger automatically when you approach the area.
You can also use this time to complete Lilysse’s request via the “Letter from the Guide” extra scenario. To find her missing hat, head to the Suite first to find the hat on the bed. It will fly away so go back to the lobby and approach the piano to find the hat again. This is a very short and simple event quest.