I don't know how it is in Australia, but in the US, there's no reason to talk to the police if you're suspected of murder. It can never help you. It can only hurt you.
edit: the video is a talk a criminal lawyer gave explaining why it's a bad idea to talk to the police. If you want a more detailed explanation, watch it.
https://www.youtube.com/watch?v=d-7o9xYp7eE
edit: the video is a talk a criminal lawyer gave explaining why it's a bad idea to talk to the police. If you want a more detailed explanation, watch it.