Some of the errors:
The most egregious error, which is repeated several times, is the claim that Petrov could have ordered a nuclear attack. He had no such ability, nor did his superiors in the early warning command.
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Most of today's people don't know it, but today's world as we know it, is like it is because of Stanislav Petrov." Complete nonsense.
That the "missiles" were tracked as headed for Moscow. No such trajectories were plotted.
That relations between the US and USSR were at an all time high tension. Debatable, perhaps, but the historians I've read assign that time to the Cuban Missile Crisis.
An important omission is that the new Soviet early warning satellite system in use was notoriously unreliable and prone to false alarms (although I'm not aware of other multiple false alarm reports).
The article neglects to mention that an alert had automatically gone up the channels to missile command. It wasn't just Petrov sitting there scratching his head and deciding the fate of the world. The false alarm was confirmed in five minutes, before a counterattack could have been launched in any event.
Here's a brief, more accurate account of the event.