I would respond to his texts and emails, but say less than he does. You want to show him you're doing just fine, and if you don't respond he doesn't get to see that. I am not hearing from my H much at all, so if I were in your shoes, I'd respond but just be friendly and keep it short.
I can also relate to the fear of having things moved out of the house. My H took most of his things this week. Absolutely, it felt like it was more final - but really, hopeful, it's just stuff. What's really important is working on being the best you that you can be.
