Am I doing something wrong? I'm a level 47 who does 2-3 FP's via group finder a day. I get about 4-5 social points per run and I am still on Social Level 1.
No. It takes a lot of SP to get to Social 2. (750 I believe.) The high level FPs don't have as many social points as the low-level ones. (I'm pretty sure there are some without any SP, other than getting the quest and turning it in, which not everyone does.) Since you are using the group finder, you're going to be put in FP of your level - the ones that don't have SP.