Is stomach abdominal and lower back pains normal in early pregnancy?

Yes, it can be. As the body prepares for the rapid expansion to come, it starts to cramp. Usually it's only around the uterus, but it can spread to other ares including the abdominal, back, and legs. If the pain gets to be unbearable or cannot be relieved by pain medications, showering, or massaging you should see a doctor about it.