Does a arbitration agreement with employer prevents you from filing with the EEOC or NYSDHR?

Usually not, but it may prevent you from recovering in the EEOC. I would consult with an employment attorney, as he or she would need to review...

He may. Even though he is probationary, he should contact the union as soon as possible.

Can the EEOC reset the days of the case if the charge had the wrong address?

It may depend. I wold consult with an employment attorney.

Does your schedule mean your getting fired

Why are you late? Is it related to a disability? If not, then they may terminate you for a valid reason as long as it is not a discriminatory one.

What should I do next?

You should consult with an employment attorney as you may have a case for discrimination and retaliation.

If i miss work for 3 days i have to be out of work for 72 hours ?

Why did you miss work? Do you have a contract or are part of a union? If not, then they can suspend you unless your time off was for a disability.

Can a job fired you if you have a disability ?

These are very fact sensitive claims. You should speak with an employment attorney to discuss in more detail.

I work for a company for 3 days now they don't want to pay me?

You should contact the New York State Department of Labor for assistance.

Any risk in giving a 2 weeks notice when employee now requires a 30 day notice?

They may not give you your bonus, but an attorney has to review all the relevant documents in order to properly advise you.

I just got fired from my work without any notice or any valid reason, i want to sue them, do I have right to sue them?

You may if your back pain qualifies as a disability. I suggest you consult with an employment attorney.