Some information I hope is helpful.
GME personal found 4 sites that contain a total of 13 cannon, 8 anchors and other scatter, two of the sites are from different countries "we think" and could be different times, there could be three different ships, site 1,2,3 we think are different ship sites, site 4 belongs to site 3 we think, Dig and ID has not been completed, further investigation will help us understand these finds better.
The Burden of proof is on the person who says what it is, GME does not know what these sites are yet, where they are from, our whom they would have belonged too, in fact we may never know. Records from this far back are mostly gone forever due to fires, water damage, etc.
Someone would have to show paper work on these wrecks as in "name", where it went down, and what was on them. They would then have to match that to the wreck site.. "good luck" with that one. As much as we want to know, it’s not likely.
As far as being a military ship, again Burden of Proof is on the nation trying to claim it as theirs. If it was built as a Navy Ship or officially taken into the Navy, again with proper documentation then they could try to claim it, if not then there is no basis.
Even if it carried military supplies or personal it doesn’t make it a military ship, American air, Delta air, JetBlue etc. carry military personal all the time and that doesn’t make them military "I think not"
if it is military then the rules say what they say, and the rules must be followed, but someone has to prove it first. Just because it’s from Spain doesn’t mean it belongs to Spain unless it belonged to the military, it just doesn't work that way.
I am no attorney but this is what I understand from what I have been told by the people that do understand.
I hope this helps