Help Differential dilemma

[burnin oil]

If noone has a better way this what I would try. Install the labeled caps the housing and torque them in place. If they didn't fit into place or there is a ridge where they meet then I would call them the wrong set and try the other caps the same way. I am guessing that a boring bar of some sort or a long setup bar through the entire housing to check run out is the proper method. That is a tool I am guessing that most of us don't have.