Don't know to be completely honest. I never applied as a civilian and have never worked in recruiting so, to this exact situation, I can't speak. As you said, best to wait for a pro on the specifics.
However, it's entirely possible for something to sit in routing, especially if it's not urgent (read: to the health of the command). While it may mean the world to you to get the package out the door, if you are indeed waiting on the signatures of the CO/XO etc, one officer candidate's package may not be the most pressing matter to the CAPT CO of an NRD. Remember, the bulk of recruiting is enlisted recruiting, which typically entails many waivers, leadership/mgmt of many stations and E-5 to E-7 recruiters spread over a wide region, and much higher (and diverse, try getting smart high school girls to sign up to live on a submarine) monthly goals than for officer programs. This doesn't include the time he must spend on programs such as funding, training, writing and signing evals/fitreps for his recruiters, and managing tasking that comes from CNRC. The list goes on and on.
To add to what cubs2105 just said, I routed mine thru my CoC Nov 18 and have the interview with the OIC tmrw afternoon. Just gotta roll with it sometimes man.