I do them as they come, but I've been helping CrisG here and there, so I know he is actually underleveled right now. He is also new to MMOs, playing as a tank and also has an extremely slow internet connection.
Thinking back to my first playthrough when I was new to MMOs and handicapped as a healer, over-leveling and extra mod/companion gear quest rewards is what got me through many class quests boss without calling Mav or Lynk for help.
@crisg - RogueJedi86 is right, don't leave the section, but you may want to do all the quests in that section before doing the class quest. Then if it doesn't work go do more and come back. That is what I did with Brem... Still have problems give me a call.