It sounds like there is misunderstanding of agreement. Generally speaking, you can sue if you have evidence to support your claim. However, like my...

What are the chances to get an employment authorization under economic hardship if my sponsor is not willing to support me?

I don't know any employment authorization will be given based on economic hardship. In other word, if someone is not able to make a living, he or...

Changing my name while filling N-400 form? ( Application for naturalization)

Before you swear in as a US Citizen, you will be given an opportunity to change name. No need to do anything now.

Will Trump's presidency make my removal of condition of permanent residency difficult, if not petitioned jointly?

There wil be law and order. One has nothing to worry about if he or she tries to abide the law.

Will my Greencard, EAD, and travel parole document be issued in my married or maiden name?

It is your duty to tell USCIS your name, change of names. They will use what you gave them.

How to switch employers being in H1B without damaging the H4 EAD ?

If you change your employer, you will change your H4. If your new H1B petition gets denied, H4 is void as well.

What happens to the priority date if I plan to take a break and come back to USA after 2-3 years?

I-140 is for future position. Where are you has little to do with it.

What documentation do I need to attach for #11 (form I-765) if I have a previously granted EAD? Will a copy of EAD card suffice?

Follow the instruction. Nobody asked about I-765.

I filed an I 918 Petition for U Immigrant Visa and I was wondering if I can also file an I 360 Petition as well as.

Filing both will invite close examination of your case. If you are eligible for both, then you have nothing to worry about.

Implications on H4 EAD if Donal Trump decides to revoke all Executive Orders passed by Obama Administration.

You are asking for speculation. What the new administration will put a brake on is illegal immigration, not normal immigration. I wouldn't worry...