It depends on facts not shared in your inquiry. Child support is calculated based on the time-sharing schedule, the incomes of the parents, amounts paid for daycare, etc. If a stipend is being received, this may be considered in the calculation, but it does not automatically mean that child support will be eliminated.
If you plan to visit that is one thing, but if you plan to move that is another. Absent good cause shown to deny an out of state visit, courts typically allow parents to travel with children during their time-sharing within the US freely as long as the travelling parent gives the other a detailed itinerary and notice. Sometimes, the court may add a restriction that travel cannot occur without the written consent of the other parent or a court order, with the caveat the consent may not be...
Typically, the spouses should maintain the status quo until there is a court order permitting otherwise. This means, insurance policies should remain intact, household bills should continue to be paid as usual, etc. Your sister-in-law should schedule a consultation with a lawyer with whom she is comfortable to get specific guidance on how to proceed. She may be eligible for spousal support from her husband even without a divorce case pending.
This is a very difficult situation and one that unfortunately presents itself quite often in divorce cases. She will certainly argue that the ring, and thus the stone, was a gift in order to be able to keep it. This is a very fact specific situation and your son should speak with a family law attorney about it.
If you and your wife have reconciled, yes your wife needs to notify the Child Support Enforcement office that she no longer requires its services and to close the case. If you owe arrears to the State due to your wife seeking public assistance in the past, however, you may not be able to just close the case even if your wife cooperates in doing so. Contact a family law attorney for a consultation to discuss the best way to proceed.
It is difficult to say. In order to give you a more definitive answer, one would likely need to see the transcript and analyze all factors relevant to your case. Meet with a lawyer in your area to discuss your options.
If there has been a substantial change in circumstances since the amount was ordered, you may be able to request a modification of the payment amount. Meet with a lawyer to discuss your options since more information is needed to assist you.
You can contact DCF to report that the child is abandoned, but there is no guarantee that after DCF becomes involved you will have the right to keep the child in your care. Meet with a lawyer with whom you are comfortable to discuss further details in your case and to determine the best course of action. Best of luck to you.
When you say you received custody, if this was by court order, it depends on what the order says. If no order was entered or the order is silent about support obligations, your husband likely has no obligation to provide financial support for the children since he is not their legal father. Consult with a lawyer in-person with whom you are comfortable to go over your options for finding and pursuing the legal father of the children for support, if any.