Head downstairs and clear the enemies in the area. Be careful since there's a grenadier in the next room. Proceed and follow the trail until you reach the exit.
You can fast-travel to the cinema or you can walk out of the base. There's a new merchant on top of the one of the towers there selling military equipment. You may want to check it out as well. Once ready, talk to Hardy to get your reward.
Talk to him again to update this quest. Talk to Jacqueline next to update the quest. Head to the projector room and pick up the reels. You have to manually carry the two crates of movie reels to the designated place on the rooftop. Light the reels up to update the quest.
Go back downstairs and talk to Jacqueline to start a new quest. (Best to Forget) Next, you have to make your way to the town hall and activate the speakers in the concert area. Approach the laptop to discover that there's no music CD. Explore the area to find it. You'll find this at the back of the stage. It will be a good idea to place a mine on each entrance before turning on the music. Return to the laptop and activate the sound system. Once done, run back to the cinema and head to the rooftop.