I don't know how the Australian system works, but when considering university or not, I think you have to consider what you want to do with your life and where you're happiest. I don't know how it is in other countries, but here in the UK there isn't a real stigma against not going to university; choosing to work instead is a perfectly valid choice and whilst things such as apprenticeships (for everything from investment banking to construction) are not very well known they are well-regarded.
Do you want to go to university?
Do you want to experience the university environment, academic and social?
Do you want to continue learning?
Do you want to enter into a career that requires or benefits from a degree?
Do you know what you want to study?
Are you academically capable of getting into a worthwhile university?
Are there any money issues that could affect your choices?
You talk about doing an animal care course - is it degree-level or lower, or are you talking about two different courses? In either case, it's great that you'll continue in training or learning. That's the important thing, to me - it doesn't have to be university but you should be gaining skills and knowledge to help you with your career and life.
We can't really advise more unless we know more about the courses you might go into and how you feel about school and university. Personally, I've wanted to go to university all my life and the career I want requires a good degree - so it was a no-brainer for me!
If you believe everything you read, better not read.