Mr C H
Given the scenario implied, yes the Stn Cdr is in charge.....of the assets he has been given!
If he hasn't enough movers, so they are the station choke point, he can ask for some more - but until/unless he gets them he has to manage the situation he has inherited as best he can. Which may mean that availability of movers is the limiting factor on aircraft movements. Not ideal, not necessarily the movers fault, but possibly reality.
Of course I am just surmising this from comments that have gone before - I fully admit to having no personal knowledge of the situation at Brize.
Perhaps someone with more inside knowledge could enlighten us all - if its not consider a state secret?!