Hi there, my name is ***** ***** I will be the licensed immigration attorney helping you today.
Unfortunately I won't have very good news for you about this.. Hope you can understand and I'm sure you know holding a law degree, that I don't make the law here and I can't change it. Hopefully you can rate me based on my service and not whether it's good or bad news.
Since you entered the US on the VWP you would not be able to get another visa in either Canada or Mexico. Even if you were allowed, both countries are unlikely to entertain your F-1 visa application because you would not be able to prove that you have ties to either country unless you've lived in either. Without that, your application has a much higher chance of denial. You will be able to show your intent to return to Australia better than Mexico or Canada.
Good luck to you during this process and I hope this answer has helped you!
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