Is this legal and Can I deman some kind of pay?

You should be paid for time spent training.

What can I do when employer falsely claims I was overpaid?

Speak with the DOL or a local employment attorney, it appears your employer may be playing fast and loose with the Wage Theft Prevention Act.

What will happen with out of state non-traffic citation?

I cannot speak to your particular employer, but generally violations do not threaten employment. As your violation does not appear to be in any...

Do I have to pay back all the money and housing cost welfare pays when I finds employment?

Check with the agency supplying your benefits, they should be able to tell you definitively. I hope they do not penalize you for getting back on...

If you are concerned, you could always hire a background check company to perform a check on you to confirm what shows up.

There is a good chance you may qualify for STD.

How can I respond to this I-485 (EB-1A) RFE about my employment history?

You may receive more responses to this question if you post it under the immigration law heading.

The NYS Division of Human Rights and the NYC Commission are generally the best options in New York.

My lawyer failed to include my employer and only included the civil service commission in appealing their decision in the art 78

How could the attorney include two prior employers? What specific decision was the Article 78 seeking to overturn?

II feel like they want me to work and risk hurting myself again ?

They are breaking the law. Speak with an experienced workers' compensation attorney immediately.