Is it legal to have your work hours cancelled without any notification of suspension?

Unless you are covered by a union contract or other employment contract you do not have rights to hours or a schedule. They can call you in or not...

What happens if I don't appear to any more family court appearances on the grounds that its detrimental to my well being?

Please hire a lawyer to help remedy what you have described. Otherwise, bring your tooth brush and enjoy the civil detention facility.

Ask your Union. Bargaining history would mean much in a grievance. What you fear is indeed what management sought to attain in bargaining. Good luck.

If a former employer owes you and several others unpaid wages, can an employer "fight back" if it's made public, or if sued?

You did a fine job of answering your own question: if there is no confidentiality clause you are free to speak. And anyone is free to seek legal...

Is their valid claim for employment discrimination?

From what you have said, no. You never spoke of discrimination just unempathic treatment. Consider discussing this with an employment lawyer in...

Do I have to agree to a background check after getting hired?

To keep the job, yes. Doubtful the CVS stuff shows up, maybe the civil filing will appear but doubt they would spend the money for such an...

Can I sue my employer for firing me without a warning notice? I got hired on the 20th of April and got fired without giving me

Two parts at least to address. Can you sue because you did not get a warning about speed/poor performance? No. Unless you have a contract to the...

Would this Violate Overtime Laws in New York or violate federal law?

OT is supposed to be 1.5 times the regular hourly wage. This is fishy enough that I urge you consult a wages/hours lawyer on Long Island. Good luck.

Does a federal employee have to sign if their position description has been changed (both the number and description)?

Do not refuse to sign...might be nailed for insubordination. Sign but add something like "I protest" or "I disagree." If in a union or covered by...

Am I being unfairly pushed out from working my notice period?

Do you have an employment contract that specifies paid notice? I assume you are not covered by a union cba. There is no law (absent some NYC...