Are U.S. territories included in paths to American citizenship?

Yes

I've my oath ceremony on Dec 20th 2013. Can i travel to Canada before the ceremony and after the ceremony without a US passport?

Yes but I would wait unless it's important.

What are the qualifications for a company to be able to take on and transfer visa work sponsorship of people for H1B visas?

As an employer who will sponsor a foreign national in the H1B visa category you have obligations and responsibilities to comply with all the US...

What arenthe requirements for me to bring my fiance here so we could get marrie?

You should consult with an immigration attorney who has experience in this area of law. If the process is not done properly you will waste money...

PERMANENT RESIDENCE DENIED! DO I NEED AN IMMIGRATION ATTORNEY? IF SO, WHAT ARE MY CHANCES OF SUCCESS?

YES!!!

Can an asylee bring daughter as a dependent?

You may apply for asylum within one year of entry into the United States. This means you are not late filing asylum application. But I would...

If it gets dismissed you should have a disposition with you at all times when you're traveling abroad. When reentering the United States you have...

How long after my I-130 is approved will the National visa centre contact me?

Within about 30 days.

Can I stay even after H1 expires ?

You should really speak to your employers immigration attorney and ask them these specific questions. They are in the best possible position to...

N-600: Is it necessary to remain in US for the duration of application process?

Talk to local attorney.