Corrected entry: There is one major mistake that seems to happen a lot in this movie. The vacuum of space. When the main character and the the other guy are in that ejection pod, the glass starts breaking. What ever should they do? The other guy says: "Quick, exhale!". That's right, their plan is to hold their breath in space. He breaks the glass, and instead of their blood boiling, they fly to their ship with the aid of fire extinguisher.
Corrected entry: If you notice in the end, none of the DNA samples on the Titan were removed.
Corrected entry: When fleeing from Earth, the father takes a ring off his finger and put it in his 6 year old child's finger, and it fits perfectly.
Corrected entry: In another scene the other guy gets shot when he is in his space suit. You see a trickle of blood. That means there must be a hole in his suit. Once again, the vacuum of space doesn't kill him.