OK, finally decided to get in after a long time following...
(A) If you are a big mil/ind contractor and in one of your research facilities there's such activity going on that there is required a security presence, if you are allowed to bring in visitors under your personal responsibility you comply with a specific procedure, you don't just dismissively blow off the people trying to do their job. In that Jeph is being consistent and Hanners, who has been adapting to dealing with the imperfect, uncontrolled environment, is right in standing up for the Lieutenant.
(B) In between the first encounter with Lt. Potter and Hanners telling Station to go apologize, Potter's no longer there so there was a lapse of time. So it's possible that during this lapse of time it was arranged to have the overlooked screenings/searches conducted and then it would be plausible for one of the AnthroPCs to smuggle hirself into their luggage or for something to be found amiss.
(C) However, grab/"come quietly" would NOT be a likely way of pulling Marigold aside under any normal procedure for dealing with civilian visitors at such a facility. Jeph's using artist's license to skip over the normal niceties of escalation to get to where Marigold is taken somewhere. As to how come they did not notice it, by now she may have been straggling back trying to see some LASERS!!!1!!11 so often they were expecting her to fall behind. Heck, they may be even using a ruse to take her to see the LASERS!!, to show no hard feelings as part of the Potter/Station settlement. (man, MG really loves LASERS!! doesn't she?)
(D) Of all the AIs so far, Station is the first one that I perceive as being actually dickish to someone*, and picking and choosing who he feels deserves or not respect or consideration. "I'm having difficulty hearing you", rolling his eyes at having to apologize, etc. (*PintSize can be rude and crude but he is not cruel; Station deliberately sought to humiliate Lt. Potter)
(E) OK, so IRL it would be hard to graduate USAF Academy if you have the kind of bad judgement to pull a Cadets Gone Wild and put it on facebook. Academy people, whatever the branch, are very career-minded. That line kind of took me out of it for a moment. It would make more sense if the picture had been shared among fellow cadets/graduates and Station had come into possession of it because of a breach of proper file security. "I should have asked Zyrkowski to wipe that memory card" or something like that.
(F) What with AIs having been declared persons with rights at some point in the recent past of the QCverse, it would make perfect sense if companies were to do a share-option compensation package for someone like Station, who's been and continues to be a vital part of ECC, just as are a lot of the people IRL in the tech and financial sectors. And it would be reasonable that Station's stock is worth hundreds of millions.