The wires in the ceiling box should be,
Red = always hot when you want to control fan from pull chain switches Or a Remote Kit which I strongly recomend.
Black = hot from the switch
White = Neutral
Green or Copper = Ground
Hope this answers some of your questions.
The Blue from the fan is your Light Power leg.
The Black is for the Fan Power leg.
tying them both together gives you control from the switch fro BOTH fan and lite.
Hope this helps.