Divorce and full custody

You should and that's really all you can do right now and just give your kids extra attention right now as it's got to be heartbreaking for them to be abandoned like that

Yes I agree. If you have had no contact from her for almost a month then she is unworthy to call herself a mother.
Follow through and start the ball rolling.
Write down everything she says, when she does eventually reconnect.
You need to keep a record of all her misgivings regarding her children. She seems to be playing you for a fool and the children, as well as yourself will suffer.