I have a 1972 Schwinn Varsity. I have purchased new wheel rims. Both the front and rear rims are Sun Rims M13II model rims. I need to know what 5 speed freewheel will attach to the M13II rear rim hub? Would the original Schwinn (5 speed Shimano MF-Z012, 14-17-20-24-28) freewheel screw onto the M13II hub? I can't get the original freewheel off the the original wheel rim, but I would (or buy another one) if I know it will screw onto the new wheel rim.