If you and the father were never married, you have custody of the child. The only rights the father has is to file a lawsuit to establish rights.
If that happens, then the Court will enter orders based upon what is in the best interests of the child.
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It sounds like you need to move out with your child and find a more stable and happy home in which to raise your child.
As an unwed mother in Arkansas, you have full custody of your child. He will need to file a paternity action to establish his parental rights and be awarded visitation with your child.
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