Green Card through Full time job offer - I am outside USA

I agree. This is something you should be discussing with your employer's immigration attorney.

How to make sure my employer willing to sponsor for H1 or not?

I agree with Mr. Hanlon and Mr. Berman

How to get permission to work and stay in America ?

I agree with everything Ms. O'Brien said.

What are the requirements for filing an asylum?

If you have stayed in status the whole time you won't be affected by the one year filing deadline. As for all the other requirements for asylum,...

I agree with Mr. Ferrari on all counts.

I agree with Mr. Ferrari 100%

Spouse already deported but Board of immigration appeals granted motion to re open

I agree with Mr. Segal - talk to the attorney who handled the motion. If you did it yourself, it would be a good time to talk to an attorney.

Does not filing a tax return 3 years ago because of not making enough money disqualify me as a sponsor to my wife?

I agree with Mr. Pineda and Mr. Brinkmeier. You should be fine - just disclose everything.

I just receive a RFE letter on my I-485 form saying this,

You need to show evidence that your sponsor has the necessary income - tax returns, paystubs, etc.

I am German, got married last June to an American. will i lose my green card and residency status after a divorce?

I agree with what the other attorneys have said - there are ways to keep the Green Card even if you have to get divorced.