As an active duty service member, if you are in your Dress Blues do you Salute an Officer in the Public Health Service or an Officer in NOAA?

The answer is yes, regardless of which uniform you're wearing.

U S Navy
CHAPTER 9
CUSTOMS AND COURTESIES
WHOM TO SALUTE.—Enlisted personnel salute all officers, and officers salute their seniors. Salutes are returned by persons saluted except when they are uncovered—the person saluted should acknowledge the salute with an appropriate greeting or a nod of the head.
Salutes are rendered to all of the following officers:
• Navy.
• Army.
• Air Force.
Aboard Ship
When boarding a ship that is flying the national ensign, all persons in the naval service must do the following:
1. Stop on reaching the upper platform on the accommodation ladder or the shipboard end of the brow,
2. Face the ensign,
3. Salute, and
4. Then salute the officer of the deck (OOD).
On leaving the ship, personnel render the salutes in reverse order—first to the OOD and then to the national ensign. These salutes also are rendered aboard foreign men-of-war.
You are required to salute all flag officers (officers above the grade of captain), the commanding officer, and visiting officers (senior to the commanding officer) on every occasion of meeting, passing near, or being addressed. On your first daily meeting, you salute all senior officers attached to your ship or station. Many ships consider salutes rendered at quarters sufficient for this first salute of the day. When the progress of a senior officer may be blocked, officers and enlisted personnel clear a path by calling out “Gangway” and stand at attention facing the senior officer until he/she passes.
In Boats
When a boat is not under way, the person in charge salutes officers that come alongside or pass nearby. If there is no one in charge, all those in the boat render the salute. Boat coxswains salute all officers entering or leaving their boats. (Although it is customary to stand when saluting, if the safety of the boat is endangered by standing, remain seated.) When boat awnings are spread, enlisted personnel sit at attention while saluting; they should not rise. Officers seated in boats rise when rendering salutes to seniors who are entering or leaving.
When boats pass each other with embarked officers or officials in view, hand salutes are rendered by the senior officer and coxswain in each boat. Coxswains rise to salute unless it is dangerous or impracticable to do so.
• Marine Corps.
• Coast Guard.
• National Administration.
Atmospheric
• Public Health Service.
• Foreign military services.
Oceanic and
• Officers of the Navy, Army, Air Force, Marine Corps, and Coast Guard Reserves.
• Officers of the National Guard when they are on active duty. When not on active duty, they rate a salute only when they are in uniform.

Regulations state they if you recognize any one as an Officer, then you render the salute.

U S Navy
CHAPTER 9
CUSTOMS AND COURTESIES

WHOM TO SALUTE.—Enlisted personnel salute all officers, and officers salute their seniors. Salutes are returned by persons saluted except when they are uncovered—the person saluted should acknowledge the salute with an appropriate greeting or a nod of the head.
Salutes are rendered to all of the following officers:
• Navy.
• Army.
• Air Force.
Aboard Ship
When boarding a ship that is flying the national ensign, all persons in the naval service must do the following:
1. Stop on reaching the upper platform on the accommodation ladder or the shipboard end of the brow,
2. Face the ensign,
3. Salute, and
4. Then salute the officer of the deck (OOD).
On leaving the ship, personnel render the salutes in reverse order—first to the OOD and then to the national ensign. These salutes also are rendered aboard foreign men-of-war.
You are required to salute all flag officers (officers above the grade of captain), the commanding officer, and visiting officers (senior to the commanding officer) on every occasion of meeting, passing near, or being addressed. On your first daily meeting, you salute all senior officers attached to your ship or station. Many ships consider salutes rendered at quarters sufficient for this first salute of the day. When the progress of a senior officer may be blocked, officers and enlisted personnel clear a path by calling out “Gangway” and stand at attention facing the senior officer until he/she passes.
In Boats
When a boat is not under way, the person in charge salutes officers that come alongside or pass nearby. If there is no one in charge, all those in the boat render the salute. Boat coxswains salute all officers entering or leaving their boats. (Although it is customary to stand when saluting, if the safety of the boat is endangered by standing, remain seated.) When boat awnings are spread, enlisted personnel sit at attention while saluting; they should not rise. Officers seated in boats rise when rendering salutes to seniors who are entering or leaving.
When boats pass each other with embarked officers or officials in view, hand salutes are rendered by the senior officer and coxswain in each boat. Coxswains rise to salute unless it is dangerous or impracticable to do so.
• Marine Corps.
• Coast Guard.
• National Administration.
Atmospheric
• Public Health Service.
• Foreign military services.
Oceanic and
• Officers of the Navy, Army, Air Force, Marine Corps, and Coast Guard Reserves.
• Officers of the National Guard when they are on active duty. When not on active duty, they rate a salute only when they are in uniform.