Do I have to establish legal custody even though birth father is not listed on birth certificate and has never seen my 2 year old daughter?

Yes. If you don't the presumed father can apply for visitation, custody, etc. at any time he so chooses. At that point he will then submit to a paternity test. If he is found the biological father, depending on where you live, you may have to pay the costs of the test as well as court costs.

Yes. If you don't the presumed father can apply for visitation, custody, etc. at any time he so chooses. At that point he will then submit to a paternity test. If he is found the biological father, depending on where you live, you may have to pay the costs of the test as well as court costs.

Do I need a lawyer? Is it an expensive process?

Do I need a lawyer? Is it an expensive process?

Depends on the state and whether the father will fight it. If there is no challenge it shouldn't need a lawyer nor cost more that nominal court fees.