Okay, so I am still a little baffled why she feels the need to show you her phone activity, if you have not asked to see. What is she trying to prove? Does she ever ask to see your phone?
Anyway, you are doing the GAL, and you on your way home, so you will be able to spend time with your kids. During this period of separation, do you and your W get together for "family activities"? If so, how do you feel about it? IMHO, if you've been separated close to three years, and things appear to be standing still, you might have to shake it up just a little. I very seldom encourage inviting the W to join the LBH when doing things "as a family".........when there has been no signs that she has changed her mind. I see it as cake eating for her, b/c she gets to enjoy these times of "togetherness" with the family, but it doesn't move her emotional needle about reconciling the MR. Therefore, you might consider not inviting her to join in activities you've planned with the kids. At the same time, you wouldn't join the activities that she plans. The point here is to show a more realistic picture of how divorce looks. The divorced spouses do not continue sharing each other's family traditions, holidays, special events, etc.
Does your W ever come over to your house, the marital home? I mean, does she go into the house? Have all her personal belongings been removed?
Have you changed anything inside the house? For example........ replaced any old pictures that are on the walls or tables with something else; replace your bedspread with a new, manly look; rearrange some of the furniture to suit your likening; or rearrange the kitchen pantry/cabinets that better suits you.
How long will you be home, before you have to leave again? If you haven't planned for some rock'n times with the kids, as well as your own GAL, then I encourage you to look for local events in the area, get your calendar out and write it down. When you don't have the kids, take advantage of doing something you've never tried, or have stopped since being married.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!