the wall is thicker than the door, so the door is sunk in with trim all around it.its not a clear picture, as i took it with my laptop. but you can see the door at least
I would use a simple spring n arm lever assembly. It could bolt up backwards inside the door.
You could use an internal closure such as a perko which you drill a 22mm hole and fit it then screw a sprung link chain onto the door frame and its out of sight when the door is closed just google Perko and you can see it
Any conventional door closer will work on this door. It doesn't look like a heavy door so you don't need a really heavy duty one. If you have ever put a piece of furniture together form Wally-word you can install a door closer just follow directions.