You may use your Australian passport to apply for visa if and only if your Australian passport have a stamp showing that you entered US legally. Because US does not officially recognize dual citizenship, your US passport may not be used as evidence supporting your application.

If you enter China using your Australian passport, you are not entitled the protection of a US citizen.

Your daughter may apply for a travel certificate to get back to China. You may provide your current ID and a detailed account of your current status change since you are back from US, and gather as much supporting evidence as possible.

If you go to Hong Kong first, then enter mainland China and back to Hong Kong, you only need one entry.

If you go to mainland China first, enter Hong Kong, then back to mainland China, you need double entry visa.

Yes, you can apply for 6-month stay without providing any document, but I suggest you include a brief note (need not to be formal) saying why you want that long. If you don't get it, you may still extend it inside China at local police station.

The consular fee is $130.

Yes, we can pick it up for you. You need to send us the original pick up slip (make a copy for yourself). You may use our online order form to enter you mailing address and select a service. Make any adjustments neccessary in the calculated total payments. This online form help us track your order and communicate with you.

You can not apply for a work visa right now, because you need to first find one would hire you and get the required form to you. The form is the proof that somebody is going to hire you and obtained approval from some agency.

You may however, apply for tourist visa to go to China. You may find a job inside China, then they will help you change to a work visa inside China.

1. Certificate of Formation For-profit Corporation. I got it from the Office of the Secratory of State of Texas. But it's a PDF version and I have a public notary notarized it. Is that good enough?
2. Certificate of Account Status. I ordered it from the Comptroller's Office. It has a gold seal on it. Is that good enough? Do I need to notarize it?
3. Bank Letter, attesting to sound banking relationship and account status of the company. Do I notarize it?
4. 委托书. Do I need to sign it before a public notary?

The general rule is that everything in English must go through the Secratory of State (OSS). The consulate only certifies that the seal of the secratory of state is true. Here are the details:

1. Not good enough, you need to go through the Office of Secratory of State (OSS), unless you use a copy mailed to you from OSS directly.
2. Yes, you need to notarize it and go through OSS.
3. Yes, you need to notarize it and go through OSS.
4. Yes, the same procedure as other documents. If you are holding a Chinese passport and the content is in Chinese, you have the option of going to the consulate and sign there directly.

First, you can request longer than 30 days and it is usually granted. Secondly, the limit is for one entry. The double visa is valid for 6 month. That means if the visa is issued on Feb. 1, and you go to China and back, then enter China on July 25, you can still stay there until Oct. 25 (assuming your duration of stay is 3 months).