Daniels' face gets splattered with blood but when she uses the radio to call back the others, her face on the screen shows no blood. In the other shots after it's there again.
When David is cutting his hair, he is singing, "The Man Who Broke the Bank at Monte Carlo." This is a reference to the film, "Lawrence of Arabia." In Alien: Prometheus, David had a fondness for that particular movie and emulated Peter O'Toole, who played T.E. Lawrence. In the movie, Lawrence sang that song while riding on a camel in the desert.