Lumbee Fairness Act This bill extends federal recognition to the Lumbee Tribe of North Carolina and makes its members eligible for the services and benefits provided to members of federally recognized tribes. Members of the tribe residing in Robeson, Cumberland, Hoke, and Scotland Counties in North Carolina are deemed to be within the delivery area for such services. The Department of the Interior and the Department of Health and Human Services must develop, in consultation with the tribe, a determination of needs to provide the services for which members of the tribe are eligible. Interior may take land into trust for the benefit of the tribe. Finally, North Carolina must exercise jurisdiction over all criminal offenses committed, and all civil actions that arise, on North Carolina lands owned by, or held in trust for, the Lumbee Tribe or any dependent Indian community of the tribe unless jurisdiction is transferred to the United States pursuant to an agreement between the tribe and the state.