Hi! I have just read through this and am appalled at how you have been treated. You are such a strong woman!
I'm not sure how far you have gone with Centrelink yet but have you advised them you are separated? My mum was still living in the house with my dad when they separated but was still able to get some payments. Apologies if this is something you have already done or are looking into.
Good luck with finishing your diploma. 2 months isn't very long left to go!