I wouldn't waste any more time planning anything. I've planned a lot over the years and it usually comes to nothing. But you end up somewhere. You just wouldn't think you'd end up at that place when you started out.
As for skill and luck and planning in chess, you can stumble unconsciously into a good position if you don't know what to do and guess at a move, but if anything works in chess and you "luck out" it is only because your opponent didn't capitalize on the openings you left.
I say some luck does exist in chess but I think that chess limits the luck factor more than most other games, if not all of them. I dont like games with a large luck factor involved , which is why I tend not to play games involving dice .