"the civilian driver..." You a cop by chance?
Passing on the right on a multi lane highway is not illegal.
As far as why he got back in the left lane after passing the car in the middle lane, there were slower moving cars in his lane after he passed. Watching the video, It appears he wanted to pass the car in the middle lane, but was blocked by the K9 car. There was three lanes in the direction of travel for a period of time, and he passed in the rightmost lane - he even signaled! The highway was reduced to two lanes in his direction of travel, and he moved into the left lane due to slower traffic ahead. No agressive or unsafe driving on the part of the driver of the truck.
BTW: "Conditions" means either condition AND you have to comply with (b)
Same law applies in NC.
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