Hi Judy.
Not too sure if I follow your post. Are you asking if there is any way to get into Oz apart from SIN or BKK ? Is so, there are a myriad of options. Non stop service is offered into the country to various cities from:
NRT KIX GUM HNL LAX SFO AKL PPT CHC WLG NOU NAN VLI CGK KUL MNL HKT FUK HKG PEK SHA and probably a few I've missed.
Also not too sure by what you mean by seeing all of the border. Oz is a *huge* country - almost the same land mass as the contiguous USA.
Happy to help some more if you can elaborate a little more.
Cheers/Regards.