There's a lot to unpack there. The best thing you can do, and the best way to get the most accurate answer to this, is simply to contact the DOL,...

Do you think this employer used a pretext reason to terminate the employee?

As previously stated, whether she has a claim will be dependent of the nature of her harassment claim. In New York, there is no law prohibiting...

Do I have a Case?

I don't see why you can't ask for the policy, and I also think that she probably can and should request a leave based on her medical conditions....

If I quit in lieu of firing can I draw unemployment?

As a general rule, if you voluntarily quit a job, you are not entitled to unemployment.

What law practice or law firm should I have to represent me regarding my termination?

Search Avvo's Find a Lawyer tool for an Employment Lawyer in your geographic location.

Can I travel outside US, if I join new employer on H1B receipt notice and petition is still pending ?

You may be more likely to get a helpful response to this if you repost it under the immigration law practice area.

Employer promised pay amount for 4 weeks but made me work 5 weeks for it; Do I have a case?

Someone would need to look over the agreement, but you may have a claim for pay for the extra week. It will be hard for anyone to say for sure...

Does my behavior constitute fraud?

The situation is very new, but technically, I do not know that you would be entitled to benefits here, unless you can show that you could not work...

Can I travel outside US, if I join new employer on H1B receipt notice and petition is still pending ?

I would suggest refiling your question under the immigration law practice area. That may lead to a more helpful response.

Umeployment benefits under the CARES act has been extended to freelancers and ICs.