Do I still need to submit supporting documents while filing Temporary Protected Status again during re registration?

You need to show you maintained required physical presence in the USA, are napali national who entered the USA on Nepali passport.

What happened to my naturalization case?

You will need to enroll again and get through the boot camp again to pursue naturalization this way.

What all options I have with H4 visa in hand and H1 visa in process!

You need to be in the USA on September 30 for the status to change to H1B ON OCTOBER 1.

Do you think i will be qualified for h2b visa even i still have my f1 visa?

You do not appear to have violated your F1 status so I do not think the fact you had to cut your studies short would have any impact on your visa...

You can since you have worked - though and that was the violation of the law not depositing the checks with the hard earned money.

Having the card is not going to cause problems though I agree you should return it. Using the substance would.

Rejection letter for H1B

it dos not appear that the petition you are talking about as ever considered for the lottery.

I think the proper form would be I-102 which you can supplement with the request for a fee waiver indeed if the error was committed by USCIS.

I reside in NY now. My divorce took place in NJ. Passport and Greencard with court from past 5 yrs for not paying debt I owed.

Refile I90 and go for biomentrics this time when you called upon.

Is it possible to appeal a deportation, after previous deportations and a US citizen Daughter?

Many things are possible. Whether is would be plausible in your situation needs to be seen after review of the case.