This part is actually quite accurate. Reactors require huge amount of cooling, usually in form of water. Fukushima was caused by tidal waves destroying pumps that provided reactors with water, afaik.
Correct for most reactors. There are a number of reactors which require no supplemental cooling outside of the air around them IRL, such as the Pebble Bed Modular Reactor being built in South Africa.
The thing is, an IC2 nuclear reactor includes the turbines and generators along with the reactor, without any of the normal parts used to cool a reactor aside from the fuel pool.
I think it would awesome if someone actually made a cooling tower / condenser mod. Make it like the coke ovens and blast furnaces in railcraft so it has to be a certain size, and have it provide cooling to the reactor as long as it is powered.