Hope it hasn't been too long since I've played Attack of the Revenge. My highest score ever was 2120 or so, but that was back when I was playing it every day. Least I can pass on some tips though, if y'all don't mind.
If the going back and forth gets to be too hectic in the later levels, remember that you can let the cannons burn down, which will let you just go from side to side, just like in the first two levels. But bear in mind that doing so will cost you three lives, so make sure you have some to spare - and save such a move for the last level you plan to complete. Also, always try to keep a cannonball in your hand. You can either load a cannon with it or just bonk a pirate on the head with it (for double the points no less). If you can manage to have a cannonball in your hand
right as the level ends, you will
still have it with you when the next level starts! See if you can use this to your advantage - sometimes I could get all three cannons loaded before the first pirate ever showed up. If you start reaching the 1500-2000+ levels, though, don't worry about hitting the pirates with the cannonballs so much. Just use the sword, as it's quicker. Trust me, by this point they'll be coming so fast, it'll make up for the lack of double points. (You won't really need to go so far just to beat AAA's score, though.)
The only other thing is just practice, practice, practice. And good luck!
Back to today's game...I'm worried that there's a glitch of some kind, and that these are the wrong prizes. I'm going to hold off on sending any more scores for BBB, in case we have to play and beat the challenge again to get the correct prizes. (Hopefully I'm wrong.)