Custody disputes are always an issue that has to be decided by the court. There are certain aspects of custody agreements that are mediated by social service representatives and legal counsels. However the final decision is always made by a Family/Domestic court judge.
A child born out of wedlock means only the mother has legal custody. Paternity must be established by a court order or stipulation.
the one who did not abandon the child probally
The mother. The father have to petition the court for custody.
no
The mother. The father have to petition the court for visitation right and custody.
An out of wedlock child is entitled to the same share as an in wedlock child. It is the biology that is crucial and not marital status. You should check the laws of intestacy in your jurisdiction.
yes
their parents
It means that the mother and father of the child were not married
yes
Legally, probably not. Not unless they have legal custody of the minor's child.
The parents have assumed joint custody.