Off the top of my head - and I admit to swagging some answers - Army, Air Force, Navy, Marines, Coast Guard, Army NG, Air NG. I do not like to include the USCG because - unless war is declared by Congress - the USCG is now part of Homeland Security and not DoD.
You write:
"Four ribbons/medals. What about the other five rows?"
I'd suggest you contact the US Public Health Service, as they would have that information.
You can see the US Public Health Service awards at:
http://www.usphs.gov/html/awards.html
I'll get back to you in a couple of hours when I get home and can do a Google image search. The posted pic is blurry and I can't find a better one.
Anyway, the answer is USA, USN, USAF, USMC, USCG, The National Oceanic and Atmospheric Administration, and as already discussed the Public Health Service.
The Air NG and Army Guard fall out under their respective services.
***I do not like to include the USCG because - unless war is declared by Congress - the USCG is now part of Homeland Security and not DoD.***
That is a personal preference, but by law they are uniformed services. Believe it or not, the USPHS has faster promotions than the Army. All of the above get the same pay and benefits as a DoD commissioned officer. That includes retirement at 20 years with PX and commissary privileges.
I am trying to talk my wife into going to go back in as a USPHS officer to finish out her career after I retire from the Army.
Here's a funny story (I think) A buddy of mine was a Navy corpsman during Vietnam. He saw a USPHS officer with longer hair and a bit longer beard than was authorized by the Navy at that time. The guy was in his blues. Anyway, my buddies Chief went up to the guy, saluted and asked, "Sir, are you in our Navy?"