I am happy to help out on Mechanical section.
Will edit this post once I have more free time.

Robotics is about control theory. How you program the robot so that it will move in the way you want. If you like computer and hardware, computer science sounds more suitable to you.


Just ask the university you are interested whether your diploma of IT is sufficient. I don't think you can get direct entry to Year 2, but using your diploma as a substitute of your Pre-U might be possible which you may get a Year 1 entry instead.

Well, if you are from a same uni (which would have the same exams time with you), and they ask you out for a movie, you might as well mix with others. If they are from other uni, which have difference exam time with you, they should be understanding enough you cannot make it and if they can't be that considerate, you might as well mix with those that can, right?

You have to look into what "problem solving" element is posed in the Mathematics degree you are pursuing, and also the career it leads to. If you stay in engineering, you will always be prompted on problems, and it's in fact your jobs to solve them. Of course, depending on your job nature and how you tailor your course, you may end up spending time in and out of workshops/factories and blacken your hands every day or even have stressful office life analysing cases and solve them, or even wear up a tie and stand in front of investors to convince them about your products. It's about what kinds of jobs you want, subject to availability of course.