It is pretty easy. You have to collect leads, and collect enough to turn them into proofs, which is the "currency" for completing quests. Points awarded for completing quests play a big role into winning. But the most important factor is finishing your main quest first, before the others. And if there is a 3 or 5 quests limit to your game, that means you have to fly through them as fast as possible. BEFORE THE OTHERS.
This can get tricky. All 4 players have different rates of how many proofs they can turn into 1 lead. So try to choose quests that generally have *this* color of leads, that the proof which is composed by them do not require your player to gather too many of them...
Also, you have to be strategic, especially with battles. Before fighting, if you have the option, check what you win and/or what you loose if you fail your dice rolls for attack and defense, and fight that battle only if it suits your interests at all... Try to visit areas that produce *this* color of lead that you need, and use investigation to choose the color of the lead that you want an attempt at getting extra. Sometimes it is an entire sub quest that gives said lead as reward, sometimes a battle, others instant win or dice roll for chance at. Rest when you are wounded, and use fast travel ONLY if you really need it (it can get tricky to use at the right time). Use rest to remove wounds only when you really need to perform an action that they have temporarily stopped from working. And just remember to have one or two spare developments handy, just in case your battle dice rolls are *too* ugly.
Only problem is those disconnects, but it is not something too bugging. They happen only once in a while, and to be honest, i was expecting it to be far more worse, but it isn't. The game is catching, interesting and entertaining, and i liked chatting with others. My only nuisance is that i cannot add friends through the service (galaxy?). But maybe in the launch this will be possible. Still beta and all...