2. Chernobyl nuclear plant was very poor copy of safe by design nuclear plant. It had critical flaw in carbon based proton catching mechanism
3. Closed zone is currently habitable (except Sarcophagus area). You'll receive much higher radiation dose simply by flying to Norway. Nature is returning there, there're plans to repopulate it
4. This was in Soviet Union and power plant was "public". Most of the power plant in EU is public if not every single one. I don't have exact information on this topic
Please do not treat entire technology, which is safe, as a threat simply because some greedy, uneducated people from the past wanted better position and paid ultimate price for it