The Remote Terminal at this location is located in the lower right corner of the Gotham Hospital parking lot. This one is a Remote Terminal for land vehicles.
After activating the Remote Terminal, you can find this character on the central roof of Gotham Hospital. Use a flying character to reach him. In his boss fight, he will jump towards you and use a stomp attack to attack you. It can be very difficult to dodge the attack because he moves so fast. If you dodge it successfully, quickly hit him to remove a heart. Repeat this three times to defeat Hush. When you remove his three hearts, you can buy him for 100,000 studs.
In the parking lot west of Gotham Hospital and south of City Hall, you will find a mystery box. Use the Riddler to open it and reveal this Gold Brick.
To the right of the Remote Terminal, you will find a panel with Batman's Sensor Suit. Put it on as Batman and activate invisibility to climb a wall without being seen by a security camera. After climbing the wall, grab a handhold to reach the south roof of Gotham Hospital. Activate invisibility to step a button without being seen by another security camera and put on the Electricity Suit. Absorb electricity from an electrical outlet on the right and transfer it to another electrical outlet on the left to open the container with this Gold Brick.
To the southeast of the Gotham Hospital fences, you'll find a panel with Batman's Electricity Suit. Put it on as Batman and climb two electric walls. After climbing the second electric wall, climb a small electric wall to the right and absorb electricity from an electrical outlet. Go down the path of studs on the left and transfer the electricity to an uncharged electrical outlet to light up a panel with the Power Suit. Put it on, use a explosive rocket to destroy three silver fences, and scale a wall. Destroy a silver lid on a panel, put on the Bat Suit, and glide along the path of studs to a lower roof. Climb a wall to the right and use the wave gun to destroy a glass container and put on the Sensor Suit. Activate invisibility to pass through a security camera on the right without being seen and walk along some planks to climb one more wall and reach the roof with this Gold Brick. The Gold Brick is protected by a security camera, so turn on invisibility so the camera doesn't see you.
You'll find this Civilian in Peril being eaten by a carnivorous plant in a small grass zone near the parking lot with the first Gold Brick. Destroy the Carnivorous Plant's three weak points to save this civilian. (Recommended to do it with a Batarang.)
To the east of Gotham Hospital, you'll find this Civilian in Peril being harassed by a Penguin Goon behind a low wall. Destroy the Penguin Goon to save this Civilian.
Among the buildings east of City Hall, you'll find this Civilian in Peril being harassed by a Penguin Goon. Destroy the Penguin Goon to save this Civilian.