The crew's dynamic in the disaster was slightly exaggerated for dramatic effect. In the movie there's a strange tension between Bill Paxton and Kevin Bacon which culminates into a shouting match trying with them at each other's throats. In real life they were completely calm and cool as cucumbers focusing on the task in hand and troubleshooting their dilemma.

Other than that small element, I actually admired the historical accuracy of this movie. The command module and lunar module were exact replicas of the real thing down to the actual switches and knobs and they accurately corresponded to the real "button presses" in several scenes when they are stirring their O2 tanks and resetting electrical transfer busses.