I'm so sick of that picture.
No offense.
At any rate I don't know what this tag is all about.


Nah I'm just messing around.
Here it is:

(The "Waking from hypersleep/Mess hall" scenes were shot last. So the tag was probably removed, or perhaps another hat used for that shot).
As to the brand of hat, I don't think we ever did get 100% confirmation of this, but we are convinced it is the ROXY clothing brand:


As Doc already said, it's a standard black ballcap. So what they did was sew a "rim" into the crown giving it the look of a modern (80s) USMC 8 point cover. It's a little hard to show, but the rim can be seen here:


Near as can tell, the rim goes nearly around to the back of the cap (at least on Apone's). However if it's just a "trick of the light", the rim goes to at least half way around the cap.
Doc is correct that the point of the Sulaco badge extends above the top of Apone's cap:

Now the badge was not sewn on, but probably hot-glued in a hurry. Some of the glue can be seen in the pic Dom and I posted with Apone looking down.
Apone was not the only one to sport this cap. Both Hudson and Wierzbowski can be seen with this hat (although they aren't seen from the front in the film):


But they are confirmed as Sulaco caps in behind the scenes pics:


It also appears that no two of these caps are exactly alike, probably due to being hastily handmade. Hudson's Sulaco badge does not extend above the top of the cap like Apone's:

The hat itself looks like a vintage baseball cap with one of those old style adjustable plastic button closures:

I replicated this cap years ago using a modern black ballcap:

The only thing is mine uses a velcro closure and not a vintage plastic one.
What Doc said about getting a "low profile" cap. I would advise against this. When you sew the rim into the cap, it greatly reduces the profile. So if you have a low profile cap to begin with, it might be unwearable after you sew the rim in.
Another thing to consider is that my replica uses one of those inaccurate oversized Sulaco badges:

A correct sized badge might have to sit higher on the front of the cap to look like Apone's.
Hope this all helps!
By the way... what tricks can your mustache do now? You said you trained it right?
Oh and can this be moved to The Ready Line? It's about wardrobe after all.
Kevin