I'm going to ignore the FB issue, but I think your first two suggestions are very bad. They are controlling, and they mix your marital issues and your co-parenting issues in a way that seems unhealthy and counterproductive.
She seems to really be struggling with being away from your son. The separation is still pretty new. My guess is that things will settle down over time.
For now, if you don't want to give updates, tell her that, and then don't. That's a firm, non-controlling boundary. It seems a little harsh, but I'm not an expert on wandering spouses.
Me: 44 H: 44 Kids: 20, 16, 16, and 10 Together/Married: 22 years H announced he was emotionally detached and considering D: 4/4/16 H announced he is going to try to stay and reconnect: 5/1/16