What are the basic human rights that australians are entitled to under the constitution?:
Australia has no basic human rights under the constitution.  We have no Bill of Rights like in America.

Any rights we do have are established by the courts.

In relation to your issue, contact a women's legal service or a women's shelter for advice about what you should do.  The question may be whether he has bashed the baby as well (or is likely to), but I am not a lawyer so dont know for sure.