Let's straighten out a few things.
A license is not a contract. A license is a grant of privilege in exchange for some SERVITUDE.
A license is a SERVITUDE.
A person petitions (begs) for a license. That which is licensed is then brought under the police powers of state government.
The license made your marriage a general partnership between her, you, and state government.
The marriage license is arguably one of the most binding agreements a person could sign.
With regard to divorce and family service courts, these are administrative courts. Some would say corporate courts ...
The agreement to pay child support is a contract, a private contract.