Will my case be denied?

I agree with my distinguished colleagues. If you face denial, you may refile it.

Does this apply as an aggravated felony? I would like to know before applying for citizenship.

It is highly recommended that you pay a consultation fee of an attorney now rather than later. Otherwise, you may face denial of your citizen...

If you entered on C crew member, you cannot adjust your status. There are few exceptions though.

I-751 GREEN CARD

You at least need to read the instruction.

How tong it took to adjust my status and get work permit?

You will not receive your green card right away because there is no visa available. The process is a bit complex. You should consult with an attorney.

What is my chance of getting a new tourist visa in the US after my previous visa was revoked, because I was forced to admit that

In your case, I highly recommend work closely with an immigration attorney to at least increase your chances.

In this case isn't my US citizen son my qualifying relative????

Qualifying relatives include parents and/or spouse. If you have it then you can apply for waiver.

Will i be apporved?

Talk to an immigration attorney in private.

E2 treaty investment detail

Attorney Behar explained it well. I just refer you to him. Good luck.

Is there any other route for H1B visa that my employer can apply for it, which does not need to go through the lottery process?

As long as you stick to academia positions, you will be cap exempt. University attorney would be able to help you.