The folowing insignia (closely following it's British origin) were in use in 2004 - however any information about their history since getting independence in 1973 is very welcomed.
Leding Seaman
Petty Officer
Chief Petty Officer
Fleet Chief Petty Officer
Midshipman
White summer uniform
White summer uniform
Sub Lieutenant
Lieutenant Junior Grade
Lieutenant Senior Grade
Lieutenant Commander
Commander
Captain
Commodore
The above insignias were changed in 2006 and the new version is shown here Bahamas,_Royal_Defence_Force
Graphics and source of information - HERRWIGGLY