How can I appeal a denial for unemployment benefits.

I believe unemployment applications are submitted under oath. The law provides penalties for people caught being less than completely truthful.

Do i have any legal rights

You will need to spend sometime in a consult with an employment attorney to discuss if any laws were violated.

Best to contact your union for an answer.

Am trying personally liable to pay workers pay if my business becomes vandalized and I lose it for good?

Yes. You probably need to consult with a bankruptcy attorney just to be prepared in case you get sued.

Contact the NYS attorney general's office in NYC, or a class action attorney.

You would need to ask an attorney familiar with commercial law.

Why is it taking so long for my check to clear it's been a month since I took offer

Not clear if you have been working for a month or waiting a month to start working. But you can contact the NYS Dept of Labor, Wages and Hours...

Deductions from wages must be made according to Labor Law Section 193.

I'm the COO of a small business in which now I'm being pushed out of because the owner no longer likes me. Do I have a claim

This is office politics. Better to consult with a corporate attorney.

Can I sue red lobster employers for not properly reading my application emotional distress , wasting my time . belittling me

Much better to thank them for their time, tell them you learned a lot about the company from talking to them, and it made you anxious to apply...