from what i have been told being engaged can help you to dilate and will help labor to go quicker, but doesnt say much about how soon it will start.
and being dilated happens a lot earlier with subsequent pregnancies, but doesnt really mean you will go anytime soon either. you can be engaged and dilated for several weeks.
my OB's usually pay more attention to being effaced than any of it. its a bigger indicator that labor will be starting soon. but since you are already effaced some, dilated some, and engaged, i would bet it will be a very quick labor. they all work together. i was 3cm dilated, 90% effaced, and engaged with my last one and ended up dilating from 3-10 in an hour when labor actually finally got going with regualar contractions