You can request a SSN on your form 765 and it will arrive around the time of the EAD. No, there is no way to get one fast ... put 'pending' on...

Can H4-Ead appy for unemploymnet benefit? does this considered to be public charge?

This looks like a repeat question ... which isn't necessary. Unemployment is an insurance program and not a public benefit.

Can I work after opt ead expire

No, you can not work after the OPT EAD expires. Do NOT enroll in a DAY-1 CPT school.

Can H4-Ead appy for unemploymnet benefit? does this impact Green card processing?

Yes, you can file for unemployment because it is an insurance program and not a public benefit.

Lucky for you, CIS doesn't prosecute people for failure to file the AR-11

Starting business while on H1B visa

The person on H-1 B should have ZERO involvement with business decisions & the 2 of you should hire a business lawyer.

After filing for AOS, Can I remain working with my opt EAD card with my current employer even after the EAD expires?

No, you can not continue working if the card expires ... unless you file an extension.

It depends on what country you move to ... different countries have different agreements with the US government.

When can I have my I-485 filed?

This is from the official CIS website: "For Employment-Based Preference Filings: For all employment-based preference categories, you must use...

How can I get an extensionon on my expiredgreen card?

Didn't you get an 18 month extension letter?