Can a deferred child with employment card receive residency after working awhile and paying taxes?

No

I have a 1984 green card with no expiration date. I would like to travel outside of US. Is my green card valid?

It is valid. Upon your return to the U.S., you will be instructed to renew your Green Card by the immigration officers.

You file the N-600 if you are already a USC. In that case, you can't change your name just with filing the form. If you are not a USC, you will...

How can a US citizen living in Mexico make their spouse a US citizen also?

She can sponsor him for a Green Card by filing Form I-130 with the USCIS and many other documents with the National Visa Center.

Is having a fat bank account necessary in applying for adjustment of status?

It is not.

Can I enter US on B2, stay for a month, go back to Australia for 3 weeks, then return to US for 3 months?

Your admittance into the U.S. depends on whether the immigration officer at the Customs believes you intend to return to Australia after your...

Regarding I-130 form question #16 " has your relative even been under immigration proceeding", What does it mean?

She needs to answer NO

Can my mother (a US citizen) petition for a green card for my husband (French citizen)?

You can't do that. Instead, you can move back to the States, file the petition, and ask you mother to sign the affidavit of support. If you try to...

Is H1B petition denial by USCIS considered as VISA denial in DS160 form?

I would say it is not.

According to the new immigration law can a US born citizen kid file case for his Father and Mother?

at the age of 21