it is a deemed university.
There are many Universities in Australia, most ranking amongst the world's best. Australia's high-ranking universities include the Australian National University (ANU) and University of Sydney...
No. KU is an independent university: http://www.kuwarangal.com/
The best one should be the one you like. Everyone has different views.
University of Hawaii HPU is almost, one step down from UH in a sense. UH has more to offer, better majors, but of course, it is more expensive.