King Elessar suggested that you recruit the Corsair Jajax, if you think he can be trusted to help.
'I did not expect you to return to Dol Amroth so quickly, ${PLAYER}. And where is the King?'
You tell Prince Imrahil about Nakási Wave-reaper's raid upon the Green Hills and her seizure of young Thorongil. When you speak of King Elessar's suggestion that you assemble a crew to rescue the heir of Pinnath Gelin, the Prince grasps the hilt of his sword.
'I can leave at once. You have but to say the word and I will voyage with you to Umbar Baharbêl, the City of Sails! The Kindred of the Coins will not stand long against us, for they will know my face and my reputation! But... you are not here to recruit me for your mission, are you? I can tell from your expression that the King wishes this to be a more secret quest. Yes, I see the need for it. I apologize for getting carried away. Who does the King suggest?'
You say that you are considering the Corsair Jajax for your crew, and the Prince is overcome by a coughing fit.
'What? Tell me you are not serious about this, ${PLAYER}! This Jajax is a Corsair, and will betray you at the first opportunity, if he has not already! My scouts report that he has gone in the direction of Abadec's Watch, south-east of Dol Amroth, likely to meet with those of his fellows encamped there. They are a danger to Gondor, and always will be! I hope you know what you are doing. If the King believes this is the right course I will not speak against it.'
Prince Imrahil's scouts reported seeing Jajax near Abadec's Watch to the south-east of Dol Amroth, in King's Gondor West.
Your rescue of Daxamat from Abadec's Watch will require you to defeat the Corsairs camped inside.
Daxamat is being held prisoner inside Abadec's Watch, in King's Gondor West.
You have freed Daxamat from his bonds.