That's Life in Australia is a weekly magazine. It seems similar in style to the UK magazine of the same name, except that it carries fiction as well as the 'real life' and lifestyle articles, puzzles and recipes. There's also a quarterly fiction special, called Fast fiction.
Anyone may submit previously unpublished fiction, via email. This will be automatically acknowledged (wouldn't it be lovely if all those magazines which aren't able to send individual acknowledgements were to do this?)
No rejections are sent. They say if you've not heard back in six months it's 'unlikely' your story has been selected for publication. Personally I'd wait a little longer before submitting elsewhere as I have had acceptances up to eight months after submission.
If a story isn't accepted you may resubmit it as 'A story that's unsuitable, in length or theme, for one issue, may be perfect for another'. I'd be interested to know if anyone has been successful with a resubmission to them. (This policy is unusual – generally if a story is rejected the editor won't want to see it again unless they've actually asked for a rewrite, or for you to submit it again at a later date.)
If a story is accepted, you'll be emailed, may be asked to confirm that it hasn't been published before, and if it's your first with them, asked to sign the contract and complete a form with payment details. You'll be told which issue it has been accepted for and the amount due 9in Australian dollars). You'll also be invited to submit an invoice. You can do that straight away, but payment won't be made until around publication date.
Unfortunately, unless you live in Australia or have a friend who does, it's very difficult to see your stories as the magazines aren't on sale elsewhere, even by subscription.
I have one in the next spring issue – which will of course be out this autumn!