Not if the child's caretaker has taken the appropriate action to protect the child from abuse and obtained a court order that prevents the child from being required to see the father. The caretaker should visit the family court immediately and ask to speak with an advocate or a representative from Child Protective Services.
He can refuse to see the child; he cannot refuse to support the child.
see links
People collect SSI when they are disabled. If a child is disabled, you can apply to see if they are eligible to receive SSI. The Social Security Office will have applications.
Yes, but see link
Maybe, see links below.
If the father has joint-custody of the child, not many. You are also at risk of an accusation of child alienation if you refuse.
No he does not because he is not the child's parent anymore.
The right to petition the courts for the right to see and support his child.
No, as the other child, even if a fraternal twin, can have a different father.
The mother can apply to pay for her and her child. For the child to do so (if she's a teen mom for example) they will count to see how much income the household have first since she lives with her parent. You really need to ask a social worker since you leave very little details.
The two concepts are not related. Payment of child support is a financial responsibility. It does not depend on whether you see your children or not.
Divorce is something that happens between spouses, not between parents and children. A child's refusal to see the father does not affect the father's child support obligation.