I can't find a reed switch for that model.
I'm not saying this is your problem. I have only seen reed switch issues twice. Once it was a cracked control trim, and the magnet was shaking away from the reed switch. This caused the machine to throw errors, shut down, and not spin up to full speed.
The other time I got a reed switch error, and there was a jumper instead of a reed switch, so that was obviously a bad board.
You may have simply gotten the reed switch error because someone tried to run the machine with the detergent drawer out of place. Of course, since I can't find a reed switch on the parts explosion, this model may not have a reed switch.
Furthermore, there are inconsistencies with the control board part.
The AppliancePartsPros picture shows a picture of part number 137005000 at Appliance Parts Pros
with the reed switch connector, and RepairClinic shows part number 137005000 at Repair Clinic
with the jumper wire???
Which one is it? I would post some pictures with arrows to point out the reed switch plug location, but I have to find a place to host the pictures, and I don't have time. I BELIEVE the reed switch connector is inside the fourth casing/housing hole, going left from the lower right, but I can't be certain, as I don't have a schematic. . . . or a board, in front of me. You'll have to verify that once you get out there.
You will see in the photos provided by the two links above, that one of the control boards has a connector soldered in place, and the other one has a wire solder across, instead of a connector.