is there a difference?

Is there a difference between false labor and Braxton Hicks? I've been feeling Braxton Hicks for months which has been my belly tightening. But last night I woke up at 2am and had to pee, once I laid back down I started getting cramps at the bottom of my belly (where I would feel menstral cramps before I was pregnant) and then would feel lower back pain. It did eventually stop and I fell back asleep but I've never felt that before. It sounds like contractions but obviously that wasn't it because baby girl is still in.