"Competition for Blood"
For this mission, you need to go find four Strix Blood items and deliver them here. This will not be able to be finished until you can battle around the Kasumigaseki Counter-Demon Force Base, but it's worth noting now anyways.
Also note that the completion of this makes the Demon Sneak armor available at the Ueno Black Market.
"Deliver the Film"
This one is quite simple. Once accepted, go to the item shopkeep to the south. Once such is done and you get the proper info, move on to the pond we just fought a boss in and exit to the north. Enter the red "!"-marked to finish the quest.