L1A- Employment Duration- How is it calculated

I agree with Attorney Segal, there are many more issues than just your duration of employment. But you answered your own question when you said...

Conversion of L2 to L1

Yes, assuming you satisfy the requirements for L-1B status and are in valid L-2 status, your employer can file an application to change your status...

Un-employment benefits & I-751

It sounds like you have a conditional green card - if that is the case, you can file for unemployment benefits, if you qualify under your states...

Can i apply for CoS to F1 to stud/ H4 ? I quit my H1b job in last week of January due to some personal and professional issues ?

You can only apply to change your status while in the U.S., if you are in valid status. You have been out-of-status for approximately 2 months...

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Who can pay for premium processing of H1B visa

Your employer must still prepare/file the premium processing request, but you are permitted to pay the premium processing filing fee only.

I have a Job offer, how do I proceed to start working? I am on a Visitor status (B-2)

The employer needs to sponsor you. They need to consult with an immigration attorney as soon as possible to see what work authorized status you...

Your employer files the H-1B petition - not you. And your employer should hire an immigration attorney.

How long after receiving my EAD can i apply for a SSN?

You can apply for a SSN as soon as you receive your EAD - no waiting period.

What will happen to my PR ?

An absence of 2 years from the U.S., without any entries to the U.S. or having a re-entry permit, will result in the U.S. government considering...

Expired I-797 eligible for cap-excemption 2016?

No you have not held H-1B status within the last 6 years, so you are not cap-exempt.