I'm sorry your going through this! It's sad and upsets me to see any of us going through it.
Do what you feel is right now and worry about the other stuff later. You can't wonder what he'll do in response to the seperation paperwork since you don't know. I would wonder what H was doing after I emailed him or whatnot....wonder if he smiled at my message or was annoyed. Then I wouldn't hear back from him right away and assume he was upset but he was just in a meeting and all was well with us. Wondering only drives us nuts sweets.