You realize CBS owns the TV SERIES rights.
Rod Roddenberry owns the individual Star Trek movie rights. He doesn't need CBS to sanction anything like this. They might give a call out to CBS to keep things friendly, but its not legally necessary.
Last I heard CBS owned Trek in its entirety and was allowing Paramount to make movies for a fee (Star Trek 2009
, Star Trek Into Darkness
I'm pretty sure the only thing Rod Roddenberry owns is a sense of entitlement from being Gene's son.
Correct. I'm not positive on the relationship between CBS and Paramount, but Rod Roddenberry has no rights whatsoever. Neither did Gene for that matter. The rights have always been held by studios. This is an unauthorized fan production. It may have professional actors in it, but it is no more official than Phase II or any other fan film.