A, You can't have it both ways--either he calls all hours of the night and keeps you from your rest or he doesn't. Whether he calls you or not, he's thinking about you. If he wasn't, he wouldn't bring you lunch, dinner or visit. You are just going to have dig deeper for some good old time faith.
I suggest that you go out on the internet and look up clinical depression and/or get some books and read up. You'll find many of the signs in the "written" word. As for him giving you the silent treatment for not signing the papers--I honestly don't think so. But, I don't know your h, nor can I get inside of his head, nor can you. What you need to do is find something to keep yourself and your mind busy. You are creating anxiety within yourself trying to figure him out. Trust me, you aren't going to do it because he can't figure himself out either.
Utilize your time in a more productive way, find a hobby, do a jigsaw puzzle or start mapping out a new flower garden, but you've got to try harder in not focusing so much on him. Whether you know it or not, it's still putting pressure on him. He senses it. The more you stay busy and just treat him as a visitor, the better for a while. Don't expect a lot from him for a while, as his depression is taking him deeper within himself. You are going to have to start relying more on yourself and your children w/doing things around the home for a bit. When he starts to feel better, you'll notice the change.
My advice...stop trying to figure out where his head and heart are for now. Turn the focus back on to you and your children, for these things are a sure thing at the moment. Your h is very lost and will be for a while.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.