Your word against a cop in court is worth very little,to prove your innocence on the red light violation (although a lot of traffic lights in Lakewood/Brick have cameras, so if you’re lucky, maybe the light you went through had a camera.
As for the other violations:(this is straight from the NJ MVC)
License plates (N.J.S.A. 39:3-33)
Using license plate covers or holders that obscure or conceal any lettering on the license plate is a violation, with a fine of up to $100.
Object hanging from Rearview mirror: