What is the process of obtaining a police clearance for VAWA in washington?

I think you are referring to the police certificate you need to obtain from other countries where you have lived, not the US.

How can a make the paperwork to obtain a sponsorship working visa?

You need to have a consultation with an immigration lawyer and inform yourself about the various visa categories and process for changing status...

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I am employed by us company and for Dubai visa and pay am contractor of Dubai base company. Can i apply for L1.

The US company and the company abroad must have common ownership among other requirements, so doesn't sound like you qualify for the L1A or L1B.

Yes that is the first step, recruitment can happen while the prevailing wage is pending, and the attorney appears to know what they are doing!

Enter US on Visit Visa but requesting Long Stay for Kids Safety ( US Born)

What did she say was the purpose of her entry when she entered on B status previously? She will not be able to just state the above to gain entry...

H4 EAD continuity?

As long as you maintain your H1B status she can continue working on her H4 EAD.

Is start date September 20 in LCA going to impact H1B application approval?

No, earlier LCA start date is fine, employer attorney did it correctly.

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Which country do I need to apply with to adjust my status to permanent resident for USA?

oh boy ... you really really need a consultation with an attorney. Not a quick answer and you need to discuss details in a confidential setting.

I am holding valid stamped h1b visa from previous employer and my new employer is asking me to travel to USA on the same visa. ?

You can use a valid H-1B visa stamp for another employer but will need the I-797 receipt or approval notice for the new employer.

Can I leave usa after a long overstay ?

You can leave the US, that won't be a problem! Sounds like you are subject to the 10 year bar, however, and won't be able to apply for another US...