Middlesex County Prosecutor Yolonda Ciccone said 15-year-old was the front seat passenger in a 1998 Buick that hit a utility pole along the southbound lanes of Route 130 around 7:25 a.m.
The incidents have taken place either outside a unit or on a nearby trail in a wooded area at an apartment complex on Route 1 in South Brunswick, police said.
South Brunswick Deputy Police Chief James Ryan said they had been called to two-story house on Old Beekman Road late Monday night hours before the fire was set.
South Brunswick police said they received a 911 call from a man Monday afternoon who said the driver of a white Mercedes was throwing coins and spitting at his car as they headed south.