(I wrote these live as I listened!) (Also.. I might be a little biased as I have a *VERY* particular interest in pirates.)
Corsair's Oath - What a sick intro. Quite the soundscape here. I can see the pirates now, boarding the ship.. It's chill yet very grand.
All Peg Legs On Deck - Now the pace is picking up! I can really feel this one.
Blood And Thunder - There's the drama I like to hear in a pirate soundtrack. Big and ominous! This is where I imagine some battle occurs.. or even an epic Kraken clash >:D
A Rival's Lament - So beautiful. Your description does it better than I could :D
Overall, it's all highly professional. Beautiful composition.