Anyone can get married in Australia with Just Married Weddings. You can fly in and fly out just for your wedding day and organize everything else online. No meetings or minimum stay requirement. Your passports are sufficient ID.
Only things to note are: you must both speak and understand English (or arrange a translator with us in advance). If you have been married before your divorce papers/ death certificates etc must be in English or officially translated. Just let us know in advance if you have documents in other languages.
If you have special requirements for a visa application please check this page.