Select this Ship Assault mission from the Retribution and be on your way.
In space, wait for the ship to arrive (simply float after Salter) and enter it at the designated spot. Climb all ladders, then go past Salter and stealth kill the enemy soldier in the next room. Go up the ladders and through the hatch.
Here, take out the three guards in the barracks (wait for the other two to stop conversing, then go for the take-outs) and put on the enemy suit (located on the left side, near where the third guard was standing). Go into the next room, disable the bots and head to the next room, where missiles are assembled.
Directly to your right you'll find an armory with equipment upgrades, along with the Eraser Weapon (on the table), and the RPR EVO Weapon (randomly spawns in the cabinet - restart if it doesn't appear). If you're lucky, even the Oni handgun spawns on the table, although you can get that elsewhere too.
Go in the building to the left, disable the bots and go upstairs. Wait for the tech officer to move out of sight, kill him from behind and grab his ID, then hop down, disable the bots next to the designated double doors and then go through. In this next room, go upstairs, disable the bots and go through the double doors again.
At the end of the hall, put your hand on the device and go inside the next room. Move past the meeting area and head into the server room, then go up the ladder and plant the device to end the life support of the three Most Wanted officers in the meeting room: Cpt. Oren Emin, Cpt. Khosi Siyada, and no other than Vice Admiral Caleb Thies (whatever, who cares if he's the 'Vice Admiral', he's just cannon fodder).
The alarm will sound, so fight your way out of the room and the adjacent hall. When the door opens, an officer will tell you to follow him (to Salter). Do so. When he and his soldiers stop at a corner of the hall down below, throw a zero gravity grenade at them and waste him - he's actually Most Wanted target Jr. Lt. Andrew Hawryluk.
Speak with Salter, then follow her to the hatch and go to outer space. Waste the floating spacemen, enter the ship and destroy the Aces, two of which are Most Wanted members Lt. Mathew Tovar and Sr. Lt. Omar Gatica.