Lastly, don't worry about completing missions for AI players. At first they all want money/metal/crystals, which you can ill-afford to give away. Later, they will ask you to destroy either ships or structures of other AI races. This will happen anyway as you begin to expand and fight other AI ships, as well as take over their planets. I've found that ignoring the missions and just playing the game will eventually get me some AI allies anyway, usually ones that dislike my neighboring AI enemies.
I'm sorry, but this is poor advice to give a new player. Resource missions are easily the best, because you don't even have to do anything to complete them. Saving up metal/crystal early isn't the simplest, but you get a long time to do it and you can wait until the very end to give it to them. 200 metal or crystal 30 minutes into the game is not difficult to save.
Secondly, the first mission is, for the most part, the only opportunity you're going to get for an easy cease-fire. It won't give you enough happiness by itself, but if you do it you'll only need one combat mission to lock in a cease fire. If you skip it, chances are you'll now need 2 combat missions.
Thirdly, lucking out on AI allies is poor planning, and will most likely actually lead to you being overwhelmed. The best thing to do is to do missions from your neighboring allies, so you won't be attacked from numerous flanks. Not only will that AI not attack you, he'll go and bother some other one, so he'll probably get a second one off your back for a good while, too.
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The advice I would give instead of "ignore diplomacy missions" is to start with just one AI. Diplomacy introduces a fairly dynamic element and needs practice to get comfortable with it working the way you need it to - it's simpler to learn how to play when dealing with only one AI.