If you are an unmarried father, you have the same rights as a married father. That means you have the right to see your child, spend time with your child, and be involved in your child's life. Your marriage status can't be used against you in the custody case. You also have the right to child support from the child's mother. But, for all of these, you need to prove paternity via the relevant birth certificate documents of the court-ordered DNA test.