How to I pay my own taxes and super?

If you are self-employed, you lodge a tax return and the ATO will send you a notice of assessment and this has your payment details and options on it. Paying super is a case of joining a super fund and the fund will be able to advise you how to make super contributions.
If you have a job, your employer will take tax out of your wages and pay it to the ATO for you. Then when you lodge your tax return the ATO will tell you if there is an amount to be refunded or whether you owe them more. And your employer must pay your super for you.

hope this helps
Brendan

Great answer before.

Also if you are self employed as a sole trader you are not required to pay Super.

Saying that it is always good practice to put something away for tomorrow. There are concessions and in fact the ATO will contribute some super aswell under certain conditions if you are a sole trader.

Hope that helped

AJ