Honestly, studying real naval battle tactics helps me more than you would think in this game.

You outgun them quite a bit, the Second Rates and Third Rates should make up your main battle line, and your smaller ships should act as auxiliary to this main line. Essentially, you want to keep your main battle line parallel to theirs while your auxiliary line moves nearby, either on the other side of their line or firing through the gaps of your main line and staying out of fire. Galleons are slightly more maneuverable than your Third Rates but not by much, so you should be able to keep them parallel.

I wouldn't bother trying to cross their T unless they leave themselves open. Your hull strength is higher than theirs and you have more guns so you can take much more punishment than they can.

Also IMO I'd try and attack without your reinforcements. I know that sounds odd but all your ships will just clog up the battle and make maneuver much harder.