I could've sworn both Jaheira and Keldorn leave your party if you fight Drizzt & Co, and Keldorn even attacking your party.
A paladin is about opposing evil and living by the rules set by their patron god, usually Helm, Tyr or Torm. Which one does your paladin follow?
Neither of these gods approve of randomly killing anyone whose face you don't like, or because they went against your own, personal code... 'good' characters don't kill unless there's no other choice in the first place.
What you describe is chaotic neutral at best and lawful evil at worst.