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chazus got some of his commentary wrong, just fyi - it helps to have actually watched the entire thing instead of "like 10 seconds" of it.
Now to your questions:
It's very accurate in regards to events and timelines and dangers presented as the accident unfolds. The director did condense a number of scientists information into one character to make the story a little easier to follow, and the director points that out in the after show commentary.
Not much - certainly not the events as they play out and the associated dangers. For instance the threat of the reactor being exploded (not exploding) and causing enormous radiation damage throughout Europe and the Soviet Union was true - which is why those poor fuckers had to go into the water.
Definitely not a documentary - but most of it you can assume happen. Obviously not necessarily the little things, but the important events and threats and dangers are true.
Yes - radiation is horrific way to go, and it can kill you very quickly if exposed to enough of it (see below re helicopter). A really rough estimate is that if you're exposed, and you start throwing up, you're going to die soon thereafter.
Sort of, but no. What they were describing was the water below the reactor detonating in such a way as to be tantamount to the force of a nuclear detonation. And that explosion would have sent the reactor material - from all four reactors (Chernobyl had four, only one of them had the accident) - scattered across a large area, and THAT would have caused several and catastrophic radiation damage throughout Europe and the Soviet Union.
Yes, but not from equipment failure. What happened with that helicopter was the crew died almost instantly from flying directly into the core exposure. What we saw in the show wasn't the helicopter getting knocked out because of radiation, but the pilot and co-pilot succumbing to radiation sickness to quickly they were almost instantly incapacitated.
If the water below the reactor had detonated, then yes. Otherwise, no. Most of the area now is habitable.