Horatio’s really getting a handle on this political language. Is he angling for a gig with one of these guys? This is very formal and very political speech making. He’s potentially learned this at the elbows of royals and in their absence, he steps into the void and starts giving orders.
After all, to whom does he owe allegiance?
Spiritually to Hamlet. But we are given no indication of his nationality. I think we can fairly safely say it is neither England nor Norway or he wouldn’t be so bold as to give these guys instructions. As one of the sole survivors of this Danish tragedy, he becomes a virtual Dane and its highest ranking one at that.