i would definitely NOT do Peace Corps just as a way to prove your fitness for people-oriented law schools. it would be a complete waste of time, money, and energy for you. i highly recommend the Peace Corps and Americorps, but not in this context.
try student government, tutoring in a local high school, etc.
the top two things schools look at are GPA and LSAT, period. softs are at best tiebreakers and waitlist-bumpers. you are fine on the main two metrics.