It's hard to know why he is staying connected. But - it's more positive than outright hate/hostility or totally disconnecting. He seems very focused on being well thought of - it could be that he is trying to show that he can be "friends". Or, it could be that he truly wants some of your attention. If you are not ready to walk away from your M, then IMO there is hope. But, things need to settle down and it seems like there is a stage of this process that you now have to go through - and the uncertainty about where it goes from here will be there for a while.
Maybe you should see later in the week how you feel about sharing a meal/drink. I would only do it if I could be relaxed/confident - or fake it really well.
