Primary pump pressure can be tested. Valve body is rarely rebuilt by tranny
shops because that is where they cut corners. If the tranny is rebuilt by
reputable shop, it would not die at 62K miles
Zero motion... it is possible the primary pump, but you need to test the
pressure. Does the car feel as if it is in parking brake on... the feeling
that the tranny is engaged but not moving? If so, valve body.
You are on the right track for the diagnosis. Last thing is the torque
converter is bad... did you change this on rebuilt?