New York Part Year Resident Remote Worker

I work remotely for an Illinois employer and moved in October to New York. For the portion of the year I lived in Illinois Jan-Sep my taxes withheld went to Illinois, for the portion I was in New York Oct-Dec my taxes withheld went to New York. 

 

1. Would I qualify for a Taxes Paid to Another State credit?

2. Does the income I earned during Oct-Dec count as New York income, or New York Sources Income?