Nice-guy actor-rapper LL Cool J suffered a broken nose and jaw early yesterday morning when a burglar broke into his sprawling Studio City, California, house and he got involved in a “knock-down drag-out” fight with the intruder. The NCIS Los Angeles star was upstairs when he heard a noise coming from his kitchen and when he went down to investigate, a man came at him, and a fight ensued. When police arrived, Cool J, 44, had – in a swoonworthy heroic maneuver right out of a movie that makes ladies love cool James – subdued the  56-year-old transient, who it turns out had a long arrest history of just such intrusions. Jonathan Kirby was arrested on suspicion of burglary with a battery charge imminent, and, broken nose and jaw aside, all’s well in Studio City.