Can a foreigner invest $500,000 in Detroit's real estate at the moment, and get a green card under investor category?

If you get a designated EB5 regional center, and create 10 new jobs, yes.

"You lied, you fried" category,for reapply visa process?

You mention lying. If you committed fraud on the asylum application you will lose eligibility for a visa in the future. If you told the truth,...

Not the filing fees. But any other fees, they may be able to get reimbursement, and that is a question for a labor law attorney. I have heard of...

Are you required to stay in the US 90 consecutive days after applying for a green card after marrying an American citizen?

No. But if you leave the U.S. without advance parole, your adjustment application may be deemed abandoned.

My 1st H1B is approved for Oct 2013, but the company canceled the job offer. Can a new company apply H1B for me now in Aug?

If they did not cancel it, you can get a new H1b.

My wife has applied the L1B extension for the next 1 years and I have H1B visa up to 2015 September. If the L1B extension got re

She can try, but if she is out of status, they may refuse. She can also get the H4 abroad. If she is denied, she should depart within 180 days,...

How long would my case take?

It looks to me like they are processing cases from 2005 for F2b, not 2008.

I filed a I-130 at the Frankfurt consulate, can I continue the petition with an Adjustment of Status? or should I cancel first?

You should be able to do that. If you are in doubt, then just refile the I-130 here with the I-485.

I'm on F1 visa, am i eligible to switch to J1 visa?

Generally, if you are in status, you can file to change to another nonimmigrant status.

Question 41 in the ds-230 form application for Dvlottery

Which subsection? That's a six part, complex question.