Head for the Security Station and use the Save Station and Store. Also be sure to use the Stasis Recharge Station on your way to the objective. Enter the room and use Kinesis on the red barrel to take down the Necromorph that has attached itself to the wall. Enter the elevator to the right of the dead monster and go up. Kill the Necromorph. Then In order to get to the door visible in the second picture, you will need to slow down the platform using stasis. Before you enter be sure to use the Save station.