Perfectly reasonable, and for most people, sensible.
I started out with a few ideas about what would be good to buy into, but had no idea how to actually buy, sell, look up information, etc. The first company I bought into was one I knew absolutely nothing about, it was a "sure thing" tip from a friend, which I blindly followed, and initially all it taught me was how to use the Westpac broking system (though for my first few weeksof active day trading I didn't realise I could get real time market depth information and exclusively used nothing more than the 20 minute delay price quotes on ASX! Amazingly, I did this extremely successfully!). Looking back at it now, I could see where my friend was coming from. The company had declared an off market buy back at about 50% above the current trading price. It took a while for the market to respond, and I sold out before the buy back went ahead. My friend bought massively more than I did, held on for the buy back (which was undersubscribed) and did very nicely indeed.
After that I started trading speculative biotech stocks, taking risks far more extreme than I realised, making profits far more lucky than I realised. Since then I've lost a fair bit on biotech (though less than I have made), lost a lot on CSS (which I knew was very risky but failed to realise was run by fraudulent scum - expensive lesson there, but a lesson well learned), made a bit on banks (blue chip, low risk), made a fair bit on energy (a mixture of luck and research), made a bit on commodities (again, a mixture of luck and research, as well as some advice from a friend).
I have never tried to buy as little as $1,200 after my first buy, but as far as I know you can buy quantities far smaller than any sensible person would bother with. The problem with small volumes is that you get wiped out by brokerage. I think you said you were going to use Comsec or Westpac, each of those will whack you with $29.95 per trade ($59.90 to buy then sell), regardless of whether you want a tiny amount or up to about $10-20k or something (my largest single trades so far have been just under $10k, I'm not sure where it gets more expensive). Buying anything under about $1-2k, your $60 in brokerage is going to hurt, as you're immediately down 3-6%.