Mark Wahlberg will be hosting a private screening of his new movie, “Broken City,’’ at the Hingham Shipyard Cinema a few days before the action flick opens. And he’s raffling off two tickets to the screening — and the after-party — to raise money for his charity, the Mark Wahlberg Youth Foundation. The deadline for buying raffle tickets is Jan. 14, the day before the screening and party, which will be held at Wahlburgers Family Restaurant. (The movie costarring Russell Crowe opens Jan. 18.) Go to Celeb ritiesforcharity.org for more information.