Can we use the advance parole (travel document) for a travel on a date different than the intended date in I-131 application?

You can travel with so long as the Advance Parole document (or card) is valid, regardless of the dates or locations listed on the application. If...

Can I postpone my biometric appointment for I 485

Yes, you can. Review the appointment notice very carefully for more information.

Regarding OPT and SEVIS denial.

A motion to reopen will not reactivate your SEVIS or produce a basis for a new I-20. If you wish to continue your studies at a new school you will...

Please see above explanation.

In some circumstances you can "port" your priority date, but you have not provided sufficient information to advise you. Either attorney from...

Can I apply to jobs and tick "Are you legally authorized to apply for working in the US" as Yes?

You can apply for jobs and indicate that you are eligible to work in the U.S. after you receive your EAD. The processing time is about 90 days.

Could I apply for reinstate my F1 status? Thanks.

You can only apply for reinstatement less than 5 months from the date of termination. So you are out of luck. After 180 days out of status you...

When Exactly can I apply for US citizenship?

You can apply to naturalize to a U.S. citizen 90 days prior to the expiration date on your green card. A two week vacation will not prolong or...

Does H4 EAD can turn into H1B, if company offers?

If you are represented by a lawyer, then your questions should be directed to that person. Generally an H-4 EAD will only be valid through the...

Its a fine line and I'm not sure there is any regulation speaking specifically to what you describe, but generally if your are pursuing some action...

Can the L1B Visa be used for the travel in Jun 2016 or am I required to apply for a B1 Visa or what are the other options?

No, it is no longer valid. You can travel with a visitor visa and engage in the very limited business purposes that are allowed on that status.