No—it is an offense under the National Vocational Education and Training Regulator Act 2011 to advertise a qualification or unit of competency that is not on your scope of registration.
If you want to use the NRT logo, your promotional material must clearly distinguish what is nationally recognised training within the scope of your registration and what is not nationally recognised.
Yes—all written material (including websites) promoting a course, or inviting a student to apply for a course, must list the registered provider’s Commonwealth Register of Institutions and Courses for Overseas Students (CRICOS) number.
All promotional material should clearly define which courses are accredited and which are not accredited.
It is an offence to imply that non-accredited training is accredited training.