OK..I hope this helps. Drop the last 0 on your model # for the sears site. (625.348550).
The seal kit # is 7129716 and the rotor is 7199232.
However, the price on the Rotor is really high. You should call Sears and ask if the Rotor is a repair kit, which may include the Seal kit. When I worked for Sears on their softeners, the rotor kit included MOST of the things you need to rebuild the valve assembley.Also, re-install the flow washers at the drain elbow. They are there for ALL water systems. They are needed for proper backwash, brine flow, and rinse.
Let me know if all works out ok.. wrench