first off, do not stop taking anything you were prescibed without talking to your doctor first
1 cm means that your cervix is open i cemtimeter, it needs to be 10 before the baby comes, it can stay at 1 or 2 for a month maybe longer
if he/she feels the head that just means baby is head down and engaged, my doc could feel my daughts head when she was 3 position, so you never know
i dont mean for this to sound rude but none of that means you are going into labor anytime soon, many subsquent pregnancies the mum starts to dialate sooner
~alicia~