Yes. The marital status of the custodial parent change does not change the obligation of the noncustodial parent.
Yes. The fact that the custodial parent got married has no impact on child support.
Yes. They are still the child's parent and responsible for supporting their child.
The State in which the child resides.
If the noncustodial parent tries to keep the child, the custodial parent can get the noncustodial parent charged with kidnapping and contempt of court both can be jail time for the noncustodial.
Not from SSI, only SSDI.
Yes, until the court order is modified.