Under Australian employment law are you allowed to take personal leave to look after a sick child or partner?
Is personal leave the correct category or does it depend on employment terms?
According to the Australian government itself, not only children and partners, and not only for sickness, but all immediate family of the employee (and of their partner if applicable) and for "unexpected emergencies" as well.
An employee may take paid personal/carer’s leave:
if they are unfit for work because of their own personal illness or injury (including pregnancy-related illness), or
to provide care or support to a member of their immediate family or household, because of a personal illness, injury or unexpected emergency affecting the member. A member of the employee’s immediate family means a spouse, de facto partner, child, parent, grandparent, grandchild or sibling of an employee; or a child, parent, grandparent, grandchild or sibling of the employee’s spouse or de facto partner.