CAN I BE FIRED IN NEW YORK FOR BEING SICK WITH DR. NOTE?

Under most circumstances employers can hire and fire employees at will--that means, when they want to and for whatever reason.  In your case you were only employed for 2 1/2  weeks so you are not eligible for any medical leave programs.  It seems unfair to be fired because you were legitimately ill==but that is your employer's prerogative.

Most employment relationships are what is known as "at will".  This means that you can work for an employer, or not, your choice.  In turn, the employer can hire or fire someone for any reason or no reason whatsoever.

The only exceptions to this are: 1) If there is an employment agreement or contract (which governs termination); 2) If there is a union or collective bargaining agreement (which governs termination); 3) If there is an employee handbook or other official policy statement (which governs termination); 4) If discrimination is a factor (there can be no termination for reasons of race, religion, age, disability, sex, national origin).