@soul_warrior, It's not a bad thing that you played your turns without discussion first. You would probably have just followed whatever you were told. This way you have the chance to learn from mistakes. After all, this is a training game and not a HoF attempt so learning from mistakes - not perfect playing - is what this game is about.
Analysing the first 20:
Firstly, as SJ Frank has stated, you should always move the worker first to see more of your surroundings. The only exception is if the starting square is the best one, in which case you will start working it immediately then move the settler.
The two options for the settler were SW or W from the start in order to get the coast (and river). Like you did I would probably have gone W because that removes the volcano from the 21 tile city radius. Volcanoes cannot be improved, so you should always avoid having them in a city radius.
SJ Frank has provided the most important lesson you can learn from the early game. Efficient use of workers is the greatest advantage a human player has over the AI. It is important to always keep the despotism penalty in mind when deciding how to improve tiles. The 'mine green, irrigate brown' rule is very useful in making the best use of tiles. Also, BG tiles should always be worked before normal grassland as they provide a free shield.
For build order, it is important to consider the map type. I believe we are playing archipelago here, so naval scouting will be needed. You were right to build the curragh as the AI will be overseas and we want to meet them asap. Personally I would have built two curraghs before a warrior, but that is my preference rather than a definite strategy.
For research, the map type is again important. With an archipelago we need to get to MM (Map Making) earlier than for example a pangaea game. This will allow us to settle other islands as the galley is the first unit with transport capability. Curraghs are useful only for exploration. This means we should go down the writing path (which soul_warrior has done

). However, the biggest priority in any game is to get out of despotism as soon as possible, so if we can use the Republic slingshot then we should, and afterwards research/trade for MM.
doc mabuse said:
Actually, i'm not so sure if we should aim for republic since it will likely be a war heavy gameplay.
It is possible to wage wars in Republic with no problems. With careful happiness management and a solid infrastructure it is possible to play the entire game in Republic (once discovered).
I'm trying to give out a lot of tips as briefly as possible here. Please feel free to ask questions if you want me to go into detail on a certain point.
