I mean, I've told her that I would take her out on dates and asked that she gets counseling but she's refused--it's damn frustrating that she feels like this is her roadblock to start mending our relationship--I honestly don't understand.
You are being the bigger person here by wanting to mend your marriage. If she doesn't want to, there is nothing you can do.
As for her saying she won't pay CS, that is on her, not to mention totally neglectful of the children. If she does this, you will def have an upper hand w/ regards to custody agreements.