35 weeks & waters broke.

my waters broke on wednesday night (front and back) im 35+3 today. there not giving me steroids though. when i was in hospital i wasnt dilating or contracting. im home now, waters still leaking when i got up & wiped i had a little bit of blood (is this good or bad?) im having a tiny bit of bellyache nothing major. there happy to leave me on antibiotics so me & baby dont get an infection & ive got a induction date which isnt till im 38 weeks! anyones waters broke & the contractions started on their own?xx