Yesterday just watched Passengers of 2016, and yes, I'm slow
It proves that coders have a slightly different way of thinking than normal people, because we always look for the most rational solution.
1) Not to mention that waking up an unknown woman just because you're bored is selfish and stupid. But the moment it became clear that the ship was in distress, the first thing to do was to wake up ALL the crew members. That's their job. That's what they're paid for. They're the only ones who can solve this problem, and in fact, it's their responsibility. If you don't wake up the crew, everybody dies, including themselves.
2) The door that Jim used as a shield, should have been used as a blocker for the airlock from which they wanted to release the heat. The algorithm: open the airlock, block its closure with the door, and run.
3) At the end, when they were deciding who would lie down in the capsule to resume hibernation, the right solution there is: get both of you in there. It's okay, squeeze in a little, you slept naked in the same bed, why should you be shy?