The crew had gone insane by the end of the filmIts implied throughout the film that staring at the sun for extended periods is playing havoc with some of the crew's mental stability. As such, to gloss over the inconsistencies with part of the films ending/Genre Shift, it would certainly fit with the theme of the melancholic character studies and subtext that Capa (or any of the other crew) had eventually been driven insane by either the futility of their mission or by the sun. This would certainly explain Pinbacker from Icarus 1 still being alive after 7 years with 100% skin damage. Anyone who died as a result was either via their own mistakes, or in fighting (as we saw earlier in the movie, some were already at each other's throats), and any references to a fifth crew member was in their own heads. Whether they still completed their mission or failed is down to the viewer - The Sun being reignited really happened or everything was simply Capa's Dying Dream.
Building on that, Pinbacker was a shared hallucination or a hallucination given life a la Paranoia Agent.He was/is the manifestation of the crew's subconscious fears about their mission failing and everyone being doomed and their insanity leading them to see the sun as a sentient malevolent god-like entity intentionally wanting to destroy the human race. It took the form of Pinbacker because he was the only crew member unaccounted for on the first ship.
The air in the big room the explosive material was radioactive or full of harmful pollutantsIt's always bothered me that they're short on air but then go into the bomb room and can breathe fine, this is my justification. They knew they could breathe the air there, but due to the toxins in the air it was being held as a last-chance air reserve for when the mission was an absolute "we're not going back".
Pinbacker is a cenobite.He's bald, horrifically disfigured, sadistic, blasphemous, and determined to take the crew to "heaven".
Pinbacker was possessed by a demon.He really did go crazy, which lead to some sort of sun/fire demon/ghost/entity taking over and turning him into a monster. That's how he drove the rest of his crew mad and killed them, how he survived all that time, and why he stayed in case Earth managed to send another crew up to try and correct the sun. He could have also psychically compelled some of the second crew to want to go investigate the first ship so he could sneak abroad and kill them, which could explain why they did something illogical like that in the first place.