When I started this game, I had heard that companions have their own quests. What I didn't realize at the time was that for most companions, the quests are just conversations on the ship. Only one companion actually has a story that ever takes you off the ship to do some quests.
From one place I read, it looks like your class's first companion is the one with the real quests. I've only leveled one toon, a BH,
However, I've also started a Jedi Knight, with T7 as my first companion.
And is it really the 1st companion for all the classes?