1097 and 3366 are the radiator side of the cooler lines.
958 and 677 are likely one supply and one return. I was talking about the supply with the checkball only. You are getting pretty technical and that's good for knowledge/sharing etc. However if you go see your dealer with your vin, he's going to supply you with a single part number for supply and a single for return that screw into the transmission. Which likely correspond to 958 and 677 or a superceding part number for each.
Actually..if you'd be willing to post your VIN, we can have dealership guy TLSheff run it and give you the correct part for the car.