On the first two days of my last period i newly started taking b/c but it made me feel sick so i had to stop taking it. Now my period is late, my period was due on the 9th od December, could it be late due to this? Did the b/c mess my cycle up?

Yes, it could be from when you stopped taking your pills. If you are not having sex than you are fine and not to worry about it. However if you are even while you were taking the pills but after you had stopped for a couple days you should go to a clinic, take pregnancy test, or go to your doctor. :)