Social points are based on the conversations and who gets the higher roll in the conversation usually gets the higher number of social points. The best FP (republic side) to run for social points is the Essles and I would recommend a group of 4 as you get more social points that way.
Also try grouping on heroics and just normal quests. I have a friend that is almost at social 2 and she is now just getting to balmorra, though her and her friend constantly group when they are playing.
I know that and I also know that I'm more than the 3 levels above Esseles so won't get bugger all SP. What I'm getting at is what FP has a lot of dialogue options in? The character in question is level 20 so I'm above Esseles and Hammer station and just inside the bracket for Athiss. Neither Hammer nor Athiss have much in the way of dialogue.