Which island country in the N Atlantic near the Arctic Circle?

Answer 1

Here is a list of Islands in the Arctic Circle:
Canada

1. Axel Heiberg Island
   
2. Ellesmere Island
   
3. Devon Island
   
4. Melville Island
   
5. Baffin Island
   
6. Banks Island
   
7. Victoria Island
   
8. Hans Island (also claimed by Denmark)
   

Denmark

1. Clavering Island
   
2. Geographical Society Island
   
3. Kaffeklubben Island
   
4. Milne Land
   
5. Naresland
   
6. Qeqertarsuaq (Disko Island)
   
7. Shannon Island
   
8. Traill Island
   
9. Ymer Island
   
10. Greenland (partially in the Arctic Circle)

Iceland

1. Bjarnarey
   
2. Drangey
   
3. Eldey
   
4. Engey
   
5. Flatey, Breiðafjörður
   
6. Flatey on Skjálfandi
   
7. Grímsey
   
8. Heimaey
   
9. Hrísey
   
10. Hvalbakur
    
11. Kolbeinsey
    
12. Málmey
    
13. Papey
    
14. Surtsey
    
15. Viðey
    
16. Vigur
    
17. Æðey
    

Norway

1. Bear Island
   
2. Jan Mayen
   
3. Alekseevøya
   
4. Kükenthaløya
   
5. Halvmåneøya
   
6. Ryke Yseøyane
   
7. Thousand Islands
   
8. Zeiløyane
   
9. Abel Island
   
10. Kongsøya
    
11. Svenskøya
    
12. Hopen
    
13. Kvitøya (White Island)
    
14. Chermsideøya
    
15. Foynøya
    
16. Karl XII-øya
    
17. Lågøya
    
18. Nordre Castrénøya and Søre Castrénøya
    
19. Repøyane
    
20. Sabine Islands
    
21. Scoresbyøya
    
22. Storøya
    
23. Prins Karls Forland
    
24. Amsterdam Island
    
25. Danes Island
    
26. Fuglesangen
    
27. Moffen
    
28. Nymark
    
29. Sørkappøya
    
30. Wilhelm Island
    
31. Martensøya
    
32. Nelsonøya
    
33. Parryøya
    
34. Phippsøya
    
35. Rossøya
    
36. Tavleøya
    
37. Vesle Tavleøya
    
38. Waldenøya
    

Russia

1. Dikson Island
   
2. Graham Bell Island
   
3. Hooker Island
   
4. Jackson Island
   
5. Northbrook Island
   
6. Rudolf Island
   
7. Wilczek Island
   
8. Zemlya Aleksandry
   
9. Zemlya Georga
   
10. Great Diomede Island
    
11. Belkovsky Island
    
12. Kotelny/Faddeyevsky Island (including the island of 'Bunge Land')
    
13. New Siberia
    
14. Great Lyakhovsky Island
    
15. Little Lyakhovsky Island
    
16. Semyonovsky Island
    
17. Stolbovoy Island
    
18. Mezhdusharskiy Island
    
19. Severny Island
    
20. Vaygach Island
    
21. Yuzhny Island
    
22. October Revolution Island
    
23. Bolshevik Island
    
24. Komsomolets Island
    
25. Pioneer Island
    
26. Schmidt Island
    
27. Bennett Island
    
28. Henrietta Island
    
29. Jeannette Island
    
30. Vilkitsky Island
    
31. Zhokhov Island
    
32. Bolshoy Island
    
33. Maly Taymyr Island
    
34. Srednij, Golomyannyj, Domashnij, Figurnyj, Vostochnyj, Smaojlovich
    
35. Vostothny Island
    
36. Anzersky
    
37. Bolshaya Muksalma
    
38. Malaya Muksalma
    
39. Solovetsky
    
40. Victoria Island (administered as part of Franz Josef Land, but physically separate)
    
41. Ushakov Island (Russian Arctic) halfway between Franz Josef Land and Severnaya Zemlya
    
42. Wrangel Island
    
43. Herald Island
    

United States

1. Barter Island
   
2. Arey Island
   
3. Little Diomede Island
   

Answer 2

That would be Greenland, which is partially in the Arctic Circle

Answer 3

Iceland