Is their supreme court elected or appointed for like like our's?
http://www.un.int/bahamas/Bahamas_Government_Info.htm
Justices of the Supreme Court, Registrars and Magistrates are appointed by The Governor-General acting on the advice of the Judicial and Legal Services Commission. The Judicial and Legal Services Commission comprises five persons with the Chief Justice as Chairman.
The Chief Justice and the Justices of the Court of Appeal are appointed by the Governor-General on the recommendation of the Prime Minister after consultation with the Leader of the Opposition.
Once appointed, the salaries and other terms of appointment of the Chief Justice, Justices of Appeal and Justices of the Supreme Court cannot be altered to their disadvantage. Justices of the Supreme Court can serve until he or she attains the age of sixty-five (65) years and where agreed may serve until the age of sixty-seven (67). Justices of Appeal can serve until he or she attains the age of sixty-eight (68) years and where agreed may serve until the age of seventy (70) years.