You should be able to do so as a third country national but you should contact the Consulate first. Additionally, what consulate did you or will...

What is a hard copy approval in h1b transfer?

Hard copy is the actual paper approval notice - I-797- from the USCIS.

Does the immigration do another check background and criminal background to remove the condition of the green card

Yes - new biometrics need to be taken. You need to list your residence. www.immigrationlawyernewyork.com

I am wanting to know some details about an h1b sponsorship related thing.

Your questions require a careful review and discussion of what your work visas options are and how best o proceed. You should have a detailed...

What should I do after school cancel my reinstatement request?

Either try to change your status to B and then back to F or return back home and try to obtain a new F visa. www.immigrationlawyernewyork.com

Was approved for vawa petition. had to leave USA urgent matter. Can I reenter with humanitarian app to adjust status ?

More information would be required before making an informed decision. www.immigrationlawyernewyork.com

I've been accepted in a full time program starting 08/23/16. Can I attend it?

Yes - it does not appear to be a problem. www.immigrationlawyernewyork.com

Do I have to re-enter the US?

I agree with my colleague - don't believe that you would need to leave the USA under these circumstances. www.immigrationlawyernewyork.com

You should file a new H-1B immediately. You may very well not need consular processing. You should seek competent counsel regarding how you can...

This should not be an issue as this is an Immediate Relative petition. www.immigrationlawyernewyork.com