Self Employed Questions About Federal and State Tax

I receive a 1099 NEC and know I need to pay self employment tax. I earn about 3000 give or take a couple hundred through this. It is the only income I receive. What I am still unsure of is:

 

Are federal and income taxes the same thing?

How do I know if I need to pay them?

How do I calculate them?

Are they also payed quarterly at the same time as the self employment?

How do I know if I need to pay state tax?

How do I calculate state tax?

Are state taxes paid quarterly as well?

 

I am in New York State. Thanks for any help!