You will need to resolve all the traffic related obligations in NJ. Then comply with your obligations in Florida Once that is done you should be able to get your license reinstated.
Unfortunately, in the age of universal computer access each states DL system is connected. As a result in order to obtain a valid Florida License you will have to satisfy the out of state case requirements before you can obtain a Florida license. In reference to the Hendry County case if your license is suspended there which your questions implies it is, you will have to satisfy the Hendry County case also before you get a Florida DL. Of course driving on a suspension now will result in a conviction of DWLS with knowledge if caught and convicted.
Mr. Fussell hits it right on the nose with his answer.
Florida will only grant the same/similar driving privileges you have from another state.
Every case and situation is different and vary greatly depending on specific facts. My posts are not to be considered complete answers to each question. My posts do not constitute an attorney/client relationship. I am only licensed to practice in the State of Florida and in federal courts. Florida Bar #337821, admitted 1982.
Sign up to receive a 3-part series of useful information and legal advice about DUIs.