What happens after applying for EAD pending asylum applicant?

Unfortunately you are not permitted to work until and unless you have your EAD card in hand. There is no such thing as an interim EAD.

A work visa with a I-130 already approved?

No she cannot as she will need to consulate process.

What do I need for internal checkpoints in Arizona with a i-485 pending?

Traveling inside the US is not like traveling between countries. But as a precaution, what you are bringing with you works. The only problem I see...

Being Australian, can I?

Current immigration law does not permit an Uncle to petition for a nephew regardless of what country someone is from.

What can I do with my criminal record ( actually I didn't find it online) and how can I get a visa again?

Often failing to provide the criminal information can be more harmful than the crime itself. Misrepresentation, omission, or fraud will definitely...

Do you suggest an electronic photo album or hard copy of the pictures for a CR1 interview?

Photos are just one element of proof for demonstrating the commingling of a marriage. Paper copies with a very brief explanation of the details of...

Approval of the I751 is based on all the evidence presented not just taxes. Providing a valid reason for filing separately would help you as would...

Need your help and advice.

Based on the information you have provided the answer is no as you always have filed your taxes as a resident since becoming a resident.

Withdraw asylum application & go forward with employer greencard application

You may withdraw your asylum request with just a simple letter to the local asylum office. They are required by statute to accept this request....

Daca

Because you only entered the US two years ago you do not qualify for either DACA or the US military service.