How long does it take for the security check (administrative processing) after the I 601 approval?

Unfortunately, there is no set time.

What is the total number of years that I can stay on H1B visa?

The quick and dirty answer would be six years. However, immigration law is fraught with exceptions. Speak with a lawyer for information specific to...

I received a ticket with TWO offenses Checked, even though there should only be one,can i get a dismissal?

You need a lawyer. Driving on the shoulder is a 4-point ticket. That will likely increase your insurance rates with your next policy renewal. Speak...

Can I change my attorney after going to judge?

Yes, everyone has a right to counsel of their choice.

Ex has filed a Motion

You can file opposition and represent yourself in Court if you cannot afford a lawyer.

My father was arrested for entering the country illegally 1988. Can I sponsor him?

You need to provide a lot more information. Schedule a consultation with an immigration lawyer.

I have a rental property, if I rent to a tenant who has a dog, and that dog bites someone, am I liable for anything?

Why not include a defend and indemnify provision in your lease agreement with respect to dog specifically? Either have tenant defend and indemnify...

Is it possible to re-emancipate the child due to continuation of full time studies in law school after he completed BA?

I suspect you mean un-emancipated, not re-emancipated. This will be a very fact specific inquiry. However, I suspect that it will be an uphill...

Absolutely.

Just have a granted asylum and won dv lottery

Speak with an immigration lawyer.