Is it safe to fill a new Green Card process with current company while exist PERM with previous company is in audit?

It may be a problemif htere is the same tax id.

Greencard holder potential marriage to an F1 visa holder

Not a good idea as the F1 is nonimmigrant intent but marriage ot a USC is immigrant intent. It may be seen as visa fraud. Get married once she...

Regarding form I 797c .

it is just a courtesy to let you know the file has been moved

Can a hospital use the I-864 to force me to pay my ex-spouse's medical bills?

Possibly if they are federal benefits

If I go to Pakistan, Do I need to re stamp my H4 visa in case of change in employment of husband(h1-b).

No you do not but take your husband's new H1B documents

I'm Maira I was just wondering if I'm elegible for the deferred action?

you will need to graduate high school or have oyur GED diploma

Can you define what falls into this aspect for the Immigration Court/Judge?

Proof includes affidavits from people who can testify you live as a married couple, joint bills together, joint lease or mortgage, joint insurace,...

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Can a petitioner who is eligible to work on H1B from Oct 1, 2013 wait for the right time to start or has to start from day one

Since oyur status has been changed from 10/1/2013 you will need ot start then as you violate your visa terms

If my work start date is October 1st what is the earliest exact date I can enter the US on my H1B visa?

You should be fine with a flight on the 20th

Is there any possibility that my greencard renewal application to be rejected?

Possibly if you have been out of hte uSA for more htan a year at a time or even in some cases more than 6 months at a time and you have not filed...