If she seems receptive to you and open for affection, it is a sign that she's giving the relationship another chance.
She will have to be able to trust you and your actions would set this in motion. It may take some time for her to let her emotional guard down but as long as you've decided to put the family first and the work second, things can improve.
You can continue to reassure her that the change you've undertaking within yourself is going to be permanent.
It is good sign that she is doing things w/ you. Three months is a long time and she may have an idea of why she needs it. She may be going to counseling, brainstorming her options, trying to figure out what she wants, testing you, etc. As far as her interacting with your friends, they are most likely mutual friends since you've been married to her. If she does not have any agendas behind it (dating your male friends) then there is no harm in that.
Unless she was dating someone over the weekend, there seems no reason for her to be secretive. That may be her way of trying to feel in control of her life at the moment. Only she knows the reason behind her behavior. See if she would share what is going on and respect her wish for privacy if she does not.
Keep the communication w/ her open and see what comes along. Hopefully she's exercising good judgment even when she's drinking.