FWIW, my exdh decided I was having an affair, which I was not. So he insisted that I give him all my passwords to everything. I said there was no reason to b/c I was not having an affair. The more he pushed, the more I pushed back. Yes, it sounds like maybe your dh has something he's hiding. But how much do you want to know, and at what cost? Is there anyone else that can talk to him and get a feel for what's going on?

Good luck-