The police station is held up by Gunners, including a named Gunner called Tessa. She'll be in a Power armor so if you manage to destroy the fusion core, you can force her out of her suit and take it yourself. This power armor has a unique part called Tessa's Fist that quadruples the durability so make sure to get it.
The police department building has a book return machine inside. The police terminal here has a holotape you can eject (Baker's Holotape). In the ground floor, there's a door leading to the QPD Lockup. If you continue upstairs, you'll find ramps connecting to the rooftops of Quincy Ruins. There’s also an ammo box and a fusion core on the floor in the small room in the corner of the QPD second floor.
The QPD Lockup has a police protectron, an Eddie Winter Holotape 3 in the locker, and an Evidence Terminal which you can use to activate the protectron or open the nearby cell.