I know what it sounds like to me. It sounds like she is starting to try and reconnect. Little baby steps. Asking you over and over how you are, how is the drinking, how are you feeling, etc.
I think you handled it rather well, when she asked about the doing something together without telling anyone. Just be careful if you do, not to move too fast. Good way you handled the anniversary, too.
She will probably talk and talk and talk about her feelings about being hurt, etc. I think she is really weighing everything here. She sees the changes in you, but isn't sure she can yet trust them.
Oh, that's great that girl's night really was girl's night out. She didn't fib to the kiddos!