Deaths of Prometheus crew members.

I just saw the movie a second time and I was just wondering about something. Are Vickers, Janek, Chance, and Ravel the only crew left alive on the Prometheus before the suicide run? They have a crew of 17 (18 with Weyland) and im pretty sure you dont see that number of deaths occur. Milbern is killed, Holloway incinerated...down to 16 The mutated Fifield kills I think 4 nameless crewmembers in the cargobay before being ran over by the guy in the APC and shot to pieces by Janek and Chance...5 deaths...11 Crew left When they go to wake up the engineer...David, Weyland, Ford, and the nameless guy with the shotgun get killed....4 deaths...7 Crew left. There is an older guy helping Weyland when he first is out of hypersleep...you never see him die There is security guy standing outside Weylands quarters right before they go to wake up the engineer, you done see him die either Then the guy who runs over Fifield with the APC, you dont see his death. So am I wrong or were there still a couple other poor bastards not on the bridge of the ship...that dont get the warning to go to the escape pods before the suicide run?