EB2 Green Card

Is this true ? - "If the ‘Schedule A’ application falls into the “EB-2” or Employment Based Second Preference category (the employer requires a Master’s degree in Physical Therapy or a Bachelor’s degree in Physical Therapy + 5 years of experience), then the Adjustment of Status application can be submitted simultaneously with the Form I-140".

I am on H-1B Visa, got my I-140 approved in EB-2 Category and waiting for the dates to get current. Based on Executive Action, shall I be given any EAD ? Or at least any other forms so that I can travel and need not go for Visa Stamping and all the additional paper work.

I am working on H-1B. This week, I got my I-140 petition approved that was filed in EB2. I am Indian citizen born in India. My marriage is scheduled to happen in Jan, 2015. The girl is citizen of India and was born in Nepal. I have heard that after marriage, I would be eligible to file I-485 for both myself and my (then) wife, based on cross-chargeability rules. <br>
1: Is my eligibility to file I-485 (based on the birth country of wife) and its approval thereafter dependent on discretion of USCIS? If yes, does USCIS generally approve or deny such I-485 petitions filed on the basis of cross chargeability rules? <br>
2: Is there any reason due to which my wife and I would be denied from filing I-485 and there-after getting an approval of I-485 (leaving aside fraud matters)? <br>
3: My fiancée is yet to get her passport made in India. I found that my fiancée does not have her birth certificate from Nepal. Is a birth certificate the only way to prove location of birth? If she gets her birth certificate made now, Does the USCIS create issues about a birth certificate made so many years after birth? <br>
4: In my scenario (EB2 petition, primary applicant India born, wife Nepal born Indian citizen), How long (approximately) after filing I-485 would it take to get the green card?

Hello Rajiv Ji,
Thanks for your time and responses (over the email). I have below questions.

1) I am an EB-2, with Priority date Jun-2008. Applied i-485 in Jan-2012. Cut-off date became current in July-2014. Through congressperson / infopass found that my application is in background checks.
1.a) I have given fingerprints 2.5 years ago and background checks are not cleared yet. so what are my options in expediting it?
1.b) My worry is the checks may not be cleared before next time dates become current, and I may be in the same situation again.
1.b) Can I use Writ of Mandamus? Does my case (485 pending for 2.5 years, current for 2.5 months, but background checks are not completed yet) have enough reasons to claim "unreasonable delay"?

2) I am using my EAD. My labor says "Senior Analyst" as my job title.
2.a) Can I accept a promotion with a director/managerial job title ?
2.b) or does it cause a problem / RFE in future? Duties are more or less similar and work on same software technology, but will have few direct reports and need to manage projects.

3) Can I switch to H1-B as a safe measure?
3.a) Does switching mean I am abandoning my GC?
3.b) Do I need to go out of the country for stamping or can I continue to work without going out?
3.b) what are the risks involved?