"Client B is location is another state" - isn't that "material" enough?

H1B

I agree. Will all depend on date being able to return.

You are not allowed to work outside campus unless on an EAD. if on an EAD can sign W9.

Hi...I got my ssn in 2020 based on the I 140 approval..will I be eligible for covid 19 stimulus for next year tax return??

It does not look like you qualify. You should know soon enough.

CIS does read cover letters, but that's not the issue here. Will be straightened out during the interview.

Can apply for unemployment, if was legally permitted to work.

Received I140 from EmployerA. If I move to EmployerB, and in case if EmployerB's I140 gets rejected then what options do I have?

I agree. All that matters is that you have a previously approved I-140.

I'm a pending asylum but still less than 150 can I apply for SSN now?

That is correct. SSA will not agree to issue a SSN without one showing an EAD.

I applied for B2 visa to visit my fiance'. Was it a wrong visa category?

Your country of domicile and your job position also played a role on that denial decision, am sure.

Yes, your employer or the business entity that is employing you on "I" visa could apply for/operate under a fictitious name.