Iceland is not a member of the EU
They once applied for membership after the financial crisis but it didn't go through; currently most citizens are opposed to the idea.
Becoming a full EU member would require them to accept the EU's fishing limitations, potentially hurting their economy. There are also other factors involved:
https://en.wikipedia.org/wiki/Iceland%E2%80%93European_Union...
Iceland is in the Schengen Area, and the EEA, but not the EU or Eurozone
Probably other changes too.
but for real, country names would be helpful too