The Law from the NJ Website...
Off the State Transportation website...
39:4-14.1 Rights and Duties of Persons on Bicycles.
Every person riding a bicycle on a roadway is granted all the rights and subject to all of the duties of the motor vehicle driver.
39:4-14.2, 39:4-10.11 Operating Regulations.
Every person riding a bicycle on a roadway shall ride as near to the right roadside as practicable exercising due care when passing a standing vehicle or one proceeding in the same direction. A bicyclist may move left under any of the following conditions: 1) To make a left turn from a left turn lane or pocket; 2) To avoid debris, drains, or other hazardous conditions on the right; 3) To pass a slower moving vehicle; 4) To occupy any available lane when traveling at the same speed as other traffic; 5) To travel no more than two abreast when traffic is not impeded, but otherwise ride in single file. Every person riding a bicycle should ride in the same direction as vehicular traffic.
In New Jersey, the law states a bicyclist must obey all state and local automobile driving laws. A parent may be held responsible for the child’s violation of any traffic law.