Good day immigration questions

For physical presence, yes, but for presence on December 20, 2000, you need something dated very close to that date.

My boyfriend is on a student visa that expires in a year a half. Do we have to marry before for him to stay in the U.S. after?

Most graduates request, and get post completion Optional Practical Training for a year, after they graduate. They get a work permit and continue...

Dear sir/madam , I have a question pertaining to vawa appllication process.

No.

Can my friend come to US as a tourist with visa waiver program if his H1B visa is valid until 2018.

He may be questioned, but he should not be inadmissible unless the employer withdrew the visa and he accumulated 180 days unlawful presence before...

Either one is fine.

I-751 denied while outside the US on vacation. Can I return to the US?

Yes, you can return.

Is Prosecutorial Discretion(PD) considered a reflection of the exercise of Deffered Action? Can I use (PD) for employment?

No, it is not deferred action.

I delivered in America with a tourism visa ,is it a problem if i want to turn back with my valid tourism visa. thank you.

It is unclear what your question is, whether you can return to Italy? Whether you can return to the U.S.? By deliver, you mean you gave birth? ...

Does the USCIS mean with keeping a current address for Green C. holder, the physical address. Thanks in advance

Correct.

Do I qualify for an E2 visa based on raised funds outside the US (as investment or a grant to the company)?

Yes.