Mark the negative side with a marker so you don't mess the polarity up.
Solder the 22 ohm resistor to the positive side of the connector. Then the adapters positive wire to the 22 ohm resistor.
Solder the negative side of the adapter to the negative side of the connector plate.
Jam it all in the plastic case thing. MAKE SURE you don't have anything touching that should not be touching.
Put the connector plate together to the dark base. Don't completely put it together yet.