Negative, you should use MTF, not ATF. The correct spec is in RAVE.The R380 runs ATF and has an internal oil pump, so I wold run a trans cooler.
Trans cooler is not part of US market spec, as far as I understand, but it won't do any harm to fit the kit. If it has run any teeth or bearings, then a complete strip down is advised as the bits get into the pump and the internal oilways and before long, the rest of the bearings will be toast.
It's a tricky box to get right, shims on the shafts, so best to get the manual if you plan on DIYing it. Replace the pump, too if you open it up.