So you started number 3...before you started number 2...
I must say, that makes very little sense.
Actually it can make sense in some way... think about it. For example Story of number 1... Ten years later (in the story) another game was made, but then they decided they can put another game in there between the ten years we don't know what happened.... thats what I think anyway... I can't think of any other games right now that do it... but I've heard of some movies n stuff.. oh wait... haha star wars?? lol
You're sorta right...DKII actually has nothing to do with the first or third games, but it is meant to explain the story and why things are happening unexplained in DK3.