The first pillar sits on pretty solid ground, given that most particle physicists deny that the subatomic world is deterministic. Things just happen without anything making them happen. Now if the physicists are right about this, all that it shows is that determinism is false (and therefore that hard determinism is false) but it doesn’t establish that we are contra-causally free.
http://www.psychologytoday.com/blog/philosophy-dispatches/201209/is-free-will-myth