Ok gents this is a short post as I am on my phone. Picked up a total jelopy bmw e39 wagon. But it’s rare and a project car I wanted to save. Anyhow , kid I bought it from said diff was welded . I was like why would any one do that. But it drove like absolute shit unless In straight line so figured he was correct. Just took it down what a pain had to lower subframe to get to bolts. Also took half the rear suspension apart as I will be replacing . I don’t do much axel/diff work but when I pulled axels drivers side seems like it’s in pieces. I am assuming this is toast and need new one? I’m sure the answer will be you have gone this far just replace .