The central locking will unlock but won't lock the passenger door.
Here's some photos I took pulling things apart.
A small thin screw driver will pop the middle part of the plastic clip outward

The entire clip will pull out

2 more clips on the inside of the door

There's a philips head screw in the middle of the door latch

The outer plastic part can be removed if you pull the latch open



There's a philips head bolt at the top of the door handle

Another on the flat section as the handle meets the door



To adjust the rod you can carefully pop the top of the clip at the latch then adjust the rod, it has ribs on it so it won't slip in the clip

This is the central locking unit removed from inside the door (sorry no photos of removal it's too hard to get a camera in there).





There are 3 wires on the plug in the door and 2 from the plug to the locking mechanism (the black earth wire isn't used).
The difference between lock/unlock is 12volts + or - (Can't remember which way around it is)
The locking mechanism is controlled by a motor and a set of gears that lock/unlock depending on the direction the motor is spinning.
So in my case (it unlocks but doesn't lock) I don't think it can be a wiring fault at the connector because it obviously completes a circuit to spin one direction.
I hooked the lock up to a 12v battery and it locks/unlocks fine, but once connected to my car (free from the door without any connecting rods etc) it will only unlock.
Perhaps in my MX-5 there's a strong enough current to unlock but not to unlock the door. Perhaps it's a dud relay?