Is there any Rex in the genetics of that animal? That may be the cause. Super Rexes tend to be bald or balding from what I recall....
If you mean double rex, both parents would have to be rex to produce double rex. And this rat is neither rex nor double rex, because it's coat and whiskers are very straight.
I think Alergies are also a possibility! Do you see him scratching the effected areas at all?