The diagram shows two seals per side? No. There is and one on the sprocket side of the differential housing. If your diagram shows a double-lipped seal, install it with the spring side facing the gear oil.
You grab the rear tire and shake it, and there is significant play. You might assume the wheel bearings are shot. However, the diagram reveals there are other possibilities. It could be: Honda Recon 250 Rear Axle Diagram
: Shows the internal differential components, including the final gear, pinion gear, and the housing that protects the axle. Rear Wheel Diagram The diagram shows two seals per side