What comes first applying for an i601 a waiver or following NVC steps?

As my colleagues have noted pay the NVC filing fee first.

Is marrying an American with a drug history in her criminal record affects getting a Residence ( i485 )?

A US citizen petition with a criminal drug history remains eligible to petition for a spouse.

When does time limit for proving domicile of petitioner ends for my f3 refused case

More information is need to answer your question. Consider contacting an immigration attorney directly.

Complete the process before departing and speak with your immigration attorney before departing.

Using Company A approved I140 for filing I485 via Company B

Depends on you and whether you have the intent and will return to company A. Discuss with employer A or B or both immigration attorney

Is marrying an American with a drug history in her criminal record affects getting a green card?

A US citizen with a criminal record involving drugs remains eligible to petition for a spouse.

Is marrying an American with a drug history in her criminal record affects getting a green card?

A US citizen with a criminal record involving drugs remains eligible to petition for a spouse.

When does validity of f3 refused case end to prove petitioner's domicile.

More information is needed. Consider contacting an immigration attorney directly so the details can be understood.

How long does it take to process I - 130 petition for Alien relative?

Sounds as if the petition is for a sibling. The delay is the result of lack of available visas Rather than processing delays. To check priority...

How can I travel out of the country with DACA?

You need a valid passport and advance parole and recommend guidance from an immigration attorney before travel and for securing advance parole