I brought my daddy with me to enrollment
Whoever your support is, you want them to be 'supportive' and respectful of your decisions as an adult. Be honest with yourselves, not all parents fit this bill.
Bringing relatives to enrollment day might be a bit like bringing parents to the day when you're filling out the list of subjects you'll study for the HSC. It's not really neccessary. If you need a bit of personal moral support, that's fine - but when that 'support' is a hinderance in any way then they are far better left at home. You do NOT want someone who will rip your proposed timetable out of your hands and 'decide what's best for you', nor do you want someone who is going to argue with the academic advisor or any other member of university staff in the event the classes you wanted are full, or you don't meet some of the prerequisites for some of the units you want to study, or whatever. (NB many of these 'problems' are easily avoided with pre-enrollment preparation. If you rock up to uni with a proposed timetable form already completed and 'legit' as far as handbook and timetable goes, your chances of a speedy enrollment go way up)
The goal of your enrollment day will be to arrive as prepared as possible, and get yourself enrolled as smoothly as possible. Any problems you come across should be dealt with as calmly as possible - otherwise it just becomes a big fat stressful mess for everyone involved. Not a very nice way to start uni!