Is Kylo a Skywalker offspring or not? If so is he Luke's son or Leia's & Han's son? And 2nd: Is Rey his twin sister? I doubt they will reveal their hand during Episode VII so at least one of these will not be answered.
As said before, I pray that they don't go with Kylo being Han's and Leia's son. It would undermine their OT struggles and love story for me if they would have a son that would go on to follow in Vader's footsteps, hating his parents and bringing more misery on the galaxy than what his parents prevented in the OT.
So fingers crossed he is not a Skywalker and only Rey is.
There are however rumors that Serkis is an ancient Sith whispering into Kylo's ears from beyond the grave, driving him on, which would then make Kylo a possibility for redemption in EpVIII or EPIX and further points to him being a Skywalker
