How to turn myself in ?

You may send a letter to an Asylum Office stating that you wish to depart and no longer wish to proceed with your case.

What happens if immigration does not progress my I-751 within the year they extended my green card?

There is nothing much you can do apart from following up on your application.

Were you working legally in the United States? What documents did you present to USCIS/consulate to demonstrate your ability to pay for your...

US citizenship application?

It would be 4 years and 9 months since the date you became a permanent resident. Assuming you are an "asylee" and not a "refugee."

My daughter turn 18 years old, she is a permanent US resident since 2014 and want to study in canada?

Maybe a re-entry permit will be an option?

Query regarding I-765 filed with I-485?

Yes. Under C9 category no fee is required for I 765 if you paid for I 485.

Can s visa - ruling/opinion from Director of Immigration & Attorney General be obtained prior?

If you ask if the government will issue an opinion just in general, not in connection with a specific case, then the answer is no.

Can an Asylum seeker marry an overseas? If yes, how long does all this procedure takes?

I am afraid your question relates to Canadian law. This forum is for US law questions only.

You can study, and if you would like to change your status to F1 you will need to file for a change of status.

Not really, a motion in itself does not give you any protection against the unlawful days. But if the motion is granted, then you will be...