What are 010009INCO, 010023INB, or 0525AGREPL DET unit codes for?

I'm in the process of putting together a retirement gift for one of my battles. The goal is to get a patch from each of the units he has served in to add to the shadow box. Unfortunately there a few units that I am unsure of, I typed what I thought might be right in to the search box here on Rally Point and while I THINK I may have figured them out I really would prefer to be sure...the guy overly deserves right. So the organizations on the ERB that I'm questioning are (as written on the ERB):

010009INCO D RIFLE M ---Camp Hovey Korea
010023INB COMPANY RI ---FT Lewis
0525AGREPL DET

I think the first one is deactivated but if anyone is positive what the units are or even know what patch is the right one, I'd appreciate the help