When Draper is crawling along the outside of the ship, she's experiencing drag as if she were on the top of a high-speed train. Space is a vacuum, there is no atmospheric resistance to impede her progress. Correction, the ship is in a constant state of acceleration so the moment she comes away from the ship she is no longer accelerating with the ship.
During the part of the episode where Prax is choosing the new name of the ship, you can see sweat dripping down his forehead, even though they are currently in zero gravity. In zero-G, sweat doesn't behave like that.