Bottle 1 - At the beginning switch to the pirate with bombs or a long gun (like Marty) and blow off the bar on the left. On the other side you will get to the room where you need to take the bricks to the green platform and set it on fire. Then jump on the blower three times.  Bottle 2 - When you leave the room go left and you will reach the room with machines. Push two bathtubs in, grab the chains and turn the winches. 
Bottle 3 - At the beginning of the level turn left and pass the fish seller. Drag the bar there as the strong character (like the Tattoo Pirate). Take the gained object to the green platform near the seller.  Bottle 4 and 5 - On the right from the fish seller you will see a performance and a silver grille. Destroy the bar using a bomb or a long gun (Marty) and climb the ladder.  Up there behind the red and black bar which can be destroyed only by Blackbeard you will find the bottle. When you will turn both of the winches a performance will start and a passage on the right will open. You will find another bottle there.
Bottle 6 - On the first map go across the bridge and turn right and move backwards a bit in the screen direction. You will find a hut there, but only Jack can enter it using the hook.  Bottle 7 and 8 - When you will unfold the first bridge and reach the further part of the docks use Siren to break the crystals on the right. Thanks to the gained helm and mechanism on the left you will get to the right side of the docks. Here you find two bottles. The first one - after shooting at the targets on the building on the left. The second one - by pulling the chains on the right.
Bottle 9 - Behind the first unfolded bridge turn left and go till the end of the path. You fill find a building and chests in front of it. A passage in the wall is hidden behind them The dog and few other characters can go through it.  Bottle 10 - In the last section go right - you will see two hanging objects here. Throw down both. Fish will dive in water and above the channel a bottle will appear.