Obviously, things are handled differently in the Navy. In the Army, a soldier that is charged with sexual harassment; and the incident proceeds beyond an on the spot correction, or personal counseling, is going to feel fortunate t dodge the charge and isn't going to file a grievance because he/she feels wrongfully accused.If a person is actually punished for a charge of sexual harassment for just opening a door and saying "I'm gay" (assuming DADT were removed), then I would hope that the person charged with SH actually files as many grievances against the command as possible. I however, doubt that most commands would allow this to get up to NJP anyway. The EO can advise the CO on what would actually constitute blatant sexual harassment, and what can be considered something that should be handled at the lowest level possible. So unless there is more to the story or the EO and CO are both paranoid, incompetent, or ignorant, then they would probably just have more sexual harassment/red-yellow-green light training. I learned a lot from my experience that I posted earlier.
And as for shipboard relations, you can't show public displays of affection on ship or while in public on base, but, with the exception of schools, you are allowed to have members of the opposite sex in barracks rooms. And you can have a romantic relationship with one of your shipmates as long as you are not violating fraternization regulations and it is in private off the ship. I've seen several cases where couples from the ship got married. The chain of command simply transfers one of them to another command, generally in the same area.
In the Army, males aren't allowed to occupy female billets and vice-versa.