But filed in southern Florida federal court - on behalf of Anderson and Melnyk's mother Vera - claims the voyage left passengers 'violently ill and subjected to false imprisonment'.
After requesting a change in the route the suit claims the captain 'appeared angry and resentful that a charterer would deem to intrude on his alleged specialized knowledge, experience, and authority', the suit alleges.
But Chris Fertig, an attorney for the yacht company, said the change was 'a physical impossibility', adding : 'It would have been nice had the boat been able to go the inland route. But you can't. I think he [the captain] did his best. You know, they all were safe. The boat is safe.'
The area Melnyk and his family had requested to travel through has depths of between 2.4 and 6.4 meters, data shows; the yacht has a draught of 3.6 meters.
Lawyer Fertig also provided letters of thanks he says were written by 'The Melnyk Group'.
Vera and Anderson are seeking $5 million in damages each. They say this is for negligence, false imprisonment and intentional infliction of emotional distress.
DailyMail.com has contacted the yacht owner and Melnyk for comment.
Sharilyne Anderson and Eugene Melnyk are pictured.
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