I know any colors are ok for show, however, what colors are not suppose to be ran on the highways, especially on motorcycles?
Red and blue. Those are for emergency vehicles only, just about everywhere.
http://law.justia.com/northcarolina/codes/chapter_20/gs_20-130.1.html
Note: this law does not appear to make any provision for brake lights.
http://law.justia.com/northcarolina/codes/chapter_20/chapter_20.html
There are all the laws on the subject. Search the index for "light"
Ambers are explicitly allowed.

Motorcycle cruiser rider locks up rear brake (multiple times), does 180, and flips passenger off back in a stunning maneuver. Oopsy. Curve was a decreasing radius turn on the infamous Devil’s Highway in eastern Arizona, about 10 miles south of Hannigan Meadow.