This is highly debatable. There are places on Earth with natural radiation fields greater than large swaths of the evacuation zone around Fukushima. For Chernobyl, see [1].
I don't think the evidence supports that, and even if it did, we create the same dead-zone conditions using chemical energy and fertilizers, so I'm not sure why it counts against nuclear any more than it would against petrochemicals.
No, thats not true. It is only because people are mis-informed on the actual facts and dangers of nuclear reactors, that we treat them as if they are lost forever.