With my second son I dialated to 5 and then labour stopped and I had him a month later. Some tips to start cotrations is lots of sex cause sperm will help you go into labour and nipple stimulation works well too. Good luck
That white stuff sounds like some of your mucus plug, when I lost my mucus plug I was 3cm at 39 weeks but went into labor 2 days later I stayed 3cm for a while then I was 6cm the next time they checked me before u now it it was time to push. Congrats and Good luck, it's a precious memory.