Can a naturalized US citizen go back to the country of birth and live there?

Generally yes. If received your initial green card through asylum, contact a US immigration attorney for review. Contact your country's embassy...

Can I work for two employers or work for one and for another as independent contractor?

Contact the company's US immigration attorney for a specific review of your options.

It appears she may stay based on the pending H4. Contact the company's US immigration attorney for specific assistance.

Am I eligible for DACA?

I agree with my colleague. Contact a US immigration attorney to review and eligibility and whether other options exist.

Can I get a working visa after my student has visa expired and with the resident visa in process?

Review the specific options provided by the other attorneys. Any work visa will require you to leave and will likely require a waiver (even though...

Is my petion going to show in my interview for a tourist visa

I agree with my colleagues. Contact a US immigration attorney for a specific review.

Can she give her fingerprint to bring my notice letter for her biometrics? What she can do?

I agree with my colleagues. She needs to wait for her notice. Contact a US immigration attorney for assistance.

Should she abandon the expired green card and apply for the B2 visa?

I agree with my colleagues. Contact a US immigration attorney for specific review.

G-325A full time student

I agree with my colleagues. Complete the forms truthfully and completely. Contact a US immigration attorney for assistance.

I agree with my colleague. File the replacement application. Contact your company's US immigration attorney for assistance.