Paul John Doherty, of Ballynahone, Fahan in Co. Donegal, pleaded guilty to seven charges relating to an incident in which a mother and her child were injured when struck by a red BMW on Benone Beach on 21 July.
Doherty admitted two charges of dangerous driving on the beach and at Seacoast Road, Limavady.
He also pleaded guilty to driving with excess alcohol, failing to stop at, report and remain at an accident in which injury had occurred.
Defence barrister Joe Brolly told the court Doherty had expressed “deep regret” about the incident.
Adjourning sentencing to 31 March next for pre-sentence reports, Judge Phillip Babington released Doherty on continuing bail.