Ft Lauderdale on Tues night (suggestions)
You can take advantage of Miami Spice (summer price fix deal in Miami. see link below) and head to Timo, Chef Allen's or Bourbon Steak. They are about a 10 to 15 minute cab ride from the Diplomat.
In Downtown Hollywood, I would recommend Lola's on Harrison or Fulvio's (Italian).
For Cuban try Padrino's which is very close to hotel.
If you are actually going to be in Ft Lauderdale for dinner let me know and I will provide some recs there.
Lola's on Harrison
2032 Harrison Street, Hollywood, FL 33020
19088 NE 29th Ave., Aventura, FL 33180
1900 Harrison St, Hollywood, FL 33020
19999 West Country Club Drive, Aventura, FL 33180