Exactly. It's an almost catch-22 situation: old reactors are unsafe, so people protest building new ones, which would make the old ones obsolete and make the whole technology safer.
Not really a catch-22: The chicken was supposedly declared safe before it laid those radioactive eggs. And if the designs and siting were subsequently found to be unsafe, why are those reactors re-certified as safe? The nuclear power industry has only itself to blame for costs and safety.
Because the identified issues have been rectified - but the fixes add to the complexity and you are always relying on a fix to make it safe - while newer designs(pebble bed reactors) are inherently safe.
Re "Because the identified issues have been rectified" you mean like the containment buildings at Fuk that did not contain? And what, exactly, can one rectify about unsafe siting?