The only thing we agreed upon during separation was custody and the monthly bills (who was going to pay what). We also split our savings account immediately. I also took away our joint credit card and eventually her debt card to our joint checking account. I did that once she opened up her own checking account and had her check re-directed to deposit at that location.
I would highly recommend splitting things financially if you separate. You don't want to look in your checking account and see a debt at 2 am in the morning at a bar.