Can only file for work authorization after I-485 has been filed. Can't file concurrently (I-130 and I-485) unless the "priority date" is current.

If a person comes into the United States illegally, how can they go about getting a green card without risking being deported?

This person will either need some kind of amnesty program to pass or may qualify for something called a provisional waiver upon marriage. Speak...

I was granted cancellation of removal in may and I was told no number want to find out when the number will be out and when

Hopefully you were granted another continuance. Numbers should be available around October 2014, as my colleague mentioned.

Stay of imposition vacated and annulled mean

What kind of extension? H-1B?

5 years bar inadmisible

No waiver is necessary after 5 years.

Hello,I have a valid visa B1-B2,I applied for an asylum already

This shouldn't be a problem. Applying for Asylum again is another story, though.

DACA/Advance Parole

The main focus would be on criminal history, immigration status abuse, etc.

I-751 waiver

You can travel with the new green card and a valid passport. No approval notice is necessary for travel. Congrats!

Change of Status for K-1

I-130 isn't necessary!

Petitioner - 2; Beneficiary - 8