Yes maritime law is different and its down to the discretion of the Captain.
As for are security right to take statements and are they admissable - that would only be a matter in a Court of law. bearing in mind the Police are not involved then you dont need to worry about that.
If it was the Police they would have taken notes but a formal statement would not have been done until they were sober, as per the Police and Criminal Evidence Act. But this does not apply here as Police are not involved.
As for taking away her Liberty, they have a right to throw off the ship, but can ask for a refund of additional expenses.
You need to write and set out your losses and request a refund within 14 days or say you will go to Court within 14 days. You should make sure you send this signed delivery and keep a copy.
If they do not refund you then you can issue proceedings in the County Court. You can either do this online at: www.moneyclaim.gov.uk or by completing form N1 http://s3-eu-west-1.amazonaws.com/hmctsformfinder/n001-eng.pdf and take it to your local County Court.
The Court will then issue a claim which a copy will be sent to the Defendant who will have a limited time to defend it, if not you can enter Judgment and enforce.
If the claim is for £10,000 or less it will be a small claim so you will not need legal representation. Over this value you would need representation for trial.
Can I clarify anything for you about this today please?