Doubleblade,
I think you have to ask yourself what you want to achieve musically, and more importantly why. By focussed. Don't jump into something because everybody is into it.
I agree with James. You don't learn audio engineering by using software. It is much larger than that. Of course, you would want a good software. But the important question is: why do you want to learn audio engineering?
These software are not cheap. Buying them may end up as a white elephant in your collection if you're not careful of what you want. I use Logic mainly for sequencing. I don't even dare to venture into live audio engineering although I did a few of it and I understood the basics. I wanted to focus on my sequencing and post-recording mixdown. My audio engineering experience deals mainly with samplers and plug-ins - very specialised area.
As for your piano lessons, taking classical lessons without exams is like driving without a license. If you don't want exams, then you'll need to ask yourself why do you want to take classical lessons. Maybe pop piano may be better. Pressure sometimes is good for us - gets us to work harder on our skills. Otherwise, we drift along. I'm sure your piano teacher wouldn't mind continue teaching you even if you don't want exams - she's earning your money. If taking classical lessons is inspired by Maksim as you mentioned before, and you want to acheive the skills like him, then please take exams. If not, it is also OK. Don't be pressure into it, or be pressured to be like Maksim. Just consider pop piano instead of classical.
As a side comment - I think you should leave your mom's CPF for her to use. She worked hard for it. When I was schooling, I always save up to buy my stuffs. The exception was my keyboard - my first Yamaha synth (SY77). I was too poor - so I made a deal with my dad to pay half of it and he paid the other half. When I was in the Army (not an MO at the time - only corporal and my pay was something like $250 per month) - I did not get a single cent from my parents. But I was able to save up for a Roland JV1080, a mixer, a Fostex multi-track recorder, some other stuffs, plus additional savings for my wedding many many years later! Learn to save.