No, what you are describing is NOT normal. If you were my patient, I would want you to call me right away, and I would probably send you to the emergency room.
I would want to do an ultrasound of your uterus and some other tests, including a pregnancy test (yes, I ALWAYS do that) and a test of your red and white blood cell counts.
Give your doctor a call if you haven't already!
OH, PS congratulations on your baby!