None of those "connections" are going to help you with a shorty LSAT score. I would postpone until June at the earliest, get some WE and study hard and apply for fall 2017.
Go now! Best time to apply is now once economy starts sliding down LSAT takers will spike and possibly your average will be less. Look at 08/09 recession. I recommend to go now who knows what's gonna happen or not in 2017. Just do it!