Chances to get a student Visa denied

Yes, it could be rejected.

US Citizenship - next steps

You should not have any problems as long as you did not file more than 90 days in advance of the 5th anniversary of the green card.

My wife is currently on H4, An employer ready to file H1. Can the employer only file I-129 without I-539 in April 2014

You could, but it does not appear to be an advisable course of action.

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1. Can I go for STEM Extension simultaneously with GC sponsorship? 2. Can I have F visa for my studies along with sponsorship?

1. Yes. 2. Probably not.

Can H1 (current 8th year) be transferred to a new employer when the PERM is pending in BALCA?

PERM must be pending at least one year to obtain an H-1B extension beyond the 6th year under these circumstances.

Husband's Name in wife's passport. Husband's full last name is not added in "Spouse Name" column, in wife's passport

Your wife will have to explain any discrepancy at the interview and provide documentation to prove the relationship.

I 140 approved and followed 3 year H1 B - Can I change my employer/Transfer my H1 B and continue my Green Card process?

Under these circumstances, your new employer would have to start a new labor petition for you, but you may be able to retain the priority date.

Unless you have a criminal record, legal matters should not affect you admissibility to the US.

BSN student grad in May '14. I've a F1 Visa. What do I need to do to stay in the US legally and be able to work and help people?

Yes, you should obtain the OPT and obtain your RN license when you graduate. Speak to the DSO at your school about getting this done well in...

Name change in passport. Is old visa valid?

The visa in the old passport is still valid.