If the forum is not following their own published policies they are in breach of contract.
However, realize they do not have to remove the post - so others could get you in trouble.
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Even if they track down your ip they would still have to somehow show you did it versus your friend. The question is whether your posting is prejudicial to good order and discipline. There is case law on service bees posting messages in Facebook and other social media.
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There are two separate issues here:
1) Your relationship with the forum you posted on
2) Your relationship with the Coast Guard
Now, the forum may or may not be breaching its terms of service. And you may or may not have a cause of action, either via injunction to keep them from contacting the Coast Guard or for actual damages if they get in contact with the Coast Guard and the service then takes some sort of adverse action against you.
But your relationship with the Coast Guard is separate. You, as a member of the service, are subject to the Uniform Code of Military Justice. Depending on what was said, if you've been cautioned in the past not to participate in such forums, or other such factors, your command could elect to move forward with administrative or disciplinary action.
There was a case recently of a Marine who posted to Facebook, was cautioned to cease and desist, didn't, and was ADSEPd. I'm not saying this is your case. I am saying that, in addition to talking to a civil rights/defamation attorney, you should talk to your local defense counsel (meaning you may need to call down to the Navy's DSO to get a field call) to make sure you're covered on that side as well.