Taking Lexipro-Your doctor said no more meds until the drama is over....your question is answered by the person who should be answering it.
The lease-I agree with you taking it over and driving the car yourself. No need to empty the bank accounts unnecessarily. Then if she wants a new car..she can go out and pick it, apply for the loan, and drive it off the lot all by herself. Put she is going to be the one making the payments and your don't sign for anything. Let it be HER car.
Finances-Many different opinions float around the board. My thoughts would be to leave the current money in the account. Then come next paycheck day, open your own account. You can always transfer money into the house as needed or agreed upon, but that cuts off the threat of her emptying the accounts. By going this route there isn't that fight about you taking money she thinks might be hers and within a few weeks she will get the point that you aren't giving her money other than what is needed.
The kids visiting-I would say go with the kids not visiting for only one reason...You have seriously rocked the boat recently. Give it a week or two and then if she says no again, force the issue. I agree with the other posters that you are the kids dad and it isn't right for your wife to say no to a visit. But in light of that, right now there has to be a little bit of damage control on your part. Let this dog sleep for awhile! If you want to do something with the kids...make it a movie and dinner! Something that won't cause a confrontation with the wife today on top of the last couple of days.
Where you live-Where ever your feel comfortable. If it is with the co-worker...stay. New apartment...do it. New house....don't buy one in the same neighborhood! Whatever you want and are comfortable with. If YOU want a football themed bachelor pad...do it. Go wild a little bit.
Find some things you want to do for yourself. Run, Walk, hike, weightlifting, dance classes, or learn to play the trombone...Do some things for yourself.