Use some grease, applied lightly to the inner bearing race of the lower bearing. Place it on the crown race and check the contact area. The old one was riding high on the crown race, by the looks of the wear marks.

If the headsets are both made to the same standard, like IS, then there should be no reason to change the crown race. They would both have the same 36 degree angle and should have the same diameter. The bearings may even be made by the same Chinese company (THN).