I remember being itchy everywhere later in pregnancy and being told that it just happens to some people.
However, just areolas is a bit odd. Have you tried lansinoh - it would at least fix the dryness and help protect the cut a bit. BM helps with some infections - it wouldn't hurt to try - but you are supposed to let it dry, which if you're leaky may be a bit of a challenge.
And if that doesn't work then you may want to see your GP and get a swab for a potential infection or thrush.

good luck!