My H never eats with me. Just after BD he did for a bit, but we haven't shared a meal in a very long time, and we used to love cooking and eating together. It was really hard at first, but I don't think about it as much anymore, even though I do miss sharing meals together. Like your H, mine has been thawing a bit in the last month. I still don't expect him to eat with me or even eat anything I make. That is one expectation I have managed to leave behind!
If you want to relax at home, relax at home! I know it's easier said than done. Don't let his whereabouts or mood if he's in the house stop you from doing what you want. GAL can also be doing things you want to do around the house! I used to also think, well, I'm out GAL and H doesn't even know because he's gone all the time. It started to sink in that I shouldn't be doing it to get a reaction from him. It became easier to go out if I wanted to or stay home if I wanted to. I stopped going out only because I thought I should be gone to make him take note. Just when I thought I was hanging around the house a lot (not talking to him, just doing my own thing regardless of what he was doing), he told a friend he barely sees me because I'm always gone.
You can't control if he notices or not. He might and he might not ever mention it. Start to put yourself first and do what makes YOU happy!