This will probably attract some dissenters...
What makes a rear wheel seal go out (prematurely). IMO, either run too loose (90% of the time in my experience) surrounding parts got too hot and "melted" the seal. Then there is just plain old age or old age.
I have changed more wheel seals from being too loose than any other reason. Usually it was my fault for not setting the bearings tight enough when I was first learning. I would just clean up all of the parts, steam off the brake shoes and reassemble with a new seal. I have read a lot of opinions that the brake shoes should also be changed and if you are hiring someone to do the repair, probably so.
With the axle still in the hub, you can not feel the play in the bearing assembly. If one side has a leak, while you are repairing it, jack the other side up, remove the axle shaft and feel it for play. My guess is you will find some on that side also. You only have to "pull" out the lock clip, tighten the "nylock" nut JUST BARELY enough (usually less than one flat of the nut) to take the play out and then "tap" the lock back into place.
Hope that helped.