I'm pretty sure that is not possible without a lawsuit over the custody of the child, then there will be decided what is best for the child.
The parent must pay any arrearage, yes.
In most states you will lose you parental rights and if you want it back generally you will need a lawyer.
Custody, not parental rights.
For a step parent to have parental rights over the step child they would have to adopt.
Yes, the back support will still be owed, unless the custodial parent agrees to 'forgive' it.
Yes. The parent's rights should be and are paramount to any rights the grandparent's may think they have.
no rights none until the child is older and the parent can explain the reasons for giving up parental rights and then it is up to the child to make a decision to have a relationship with that parent
yes
The Power of Attorney has no rights over a parent of sound mind. The power of attorney is given by the parent and can be withdrawn at any time. And the power of attorney automatically ends upon the grantor's death.
A DNA test can prove if the biological father is actually the father. If it is proven he is the father, then he should have all parental rights as any other parent.
If you are referring to parental rights - there is NO way that you can legally abandon your rights OR your responsibilitiesas a parent.
If a biological parent gives up their parental rights, then the spouse of the other parent is able to adopt the child. The parent who gave up their rights has no say in the matter.