1. The Self acquired property of your father's property which was partitioned and registered earlier amongst his sons is in order and it was your father's prerogative, being owner of self acquired property, to decide about his self acquired property. Your half sister cannot claim any right over her father's Self acquired property which was partitioned during her father's lifetime.
2..In the ancestral property, your half sister is entitled to equal share, along with other legal heirs, in view of amendment to Hindu Succession Act 2005.