I don't think an increase of the cards limit will show up on your credit report. If on the other hand you start becoming delinquent in your payments of the card, that's a different story.
The increased limit however will effect your DSR with the bank, even if you haven't used it. The bank assumes the card is at it's limit for calculations.
thats correct,
they work out a certain %, say 5% (just an example) of the limit as your repayment, so if you have a $10k credit card, they will assume that you will/need to pay back $500 per month and hence take it out of your income for serviceability, maybe its an average value of the average australians credit spending,
as for enquriing about limits, I would never ask for a limit increase, that being said, I never go near my limit, if you keep your card long enough, they should offer you more and more, I started off at 18 with a $1000 or $2000 or $3000 limit, every year or so ive taken a limit increase, ive got 2 cards, and if my higher limit one needs to go to get a loan, it will be cut up in seconds!!
ps. I would also think that missing your minimum repayment per month, even if it was $10 might not do your credit any good, or maybe it has to be repeated missings, because sometimes people do simply forget, so if your full balance is $5k, the minimum payment might be $100, or if the balance was $1k, the minimum payment might be $20, its easy to forget $20 but I wonder at which point your credit file gets affected,
note: my current balance is $6200 odd ,and minimum payment is $131, so about 2%