It's been about a year since I did this mission, but I'm sure I did it alone. Can't tell you anymore how exactly though.
If you keep having problems, ask someone in general chat to help you with the mission. As long as you activate "Allow access to same story areas" (not exactly what it's called, but more or less) in preferences, group members can enter your class story instances and help you there.
If you want a trooper to help you, use general chat on your ship