I learned a lot adding a belly lam to a bow after the fact once, and was quite pleased with how it came out. Given what I know about your contraints at home, I would say fix it. Worst case is you build another one anyway. More than likely you'll learn a few things and be a better bowyer for it. I think you can't beat a hickory backing, leave that alone and add some more jatoba. Don't forget to go a little more than .060, you'll be losing some grinding the limb down to a good, flat gluing surface.
BTW, how'd you get to 0.060? Sectional moment of inertia had to increase proportional to poundage?