I lived in Jacksonville in the late 80s during my early years in the Navy.
Cool fishing ops everywhere. For salt water locally, I'd focus on Redfish in the Intercoastal Waterway for a good eating fish ((ICW) perhaps called the Indian River there, but I believe that is farther south). Lots of Speckled Trout in there too - a local favorite that is very pretty but worthless for fighting in my book. Perhaps Jack Crevalle and smaller Bluefish which are some of the best fighting fish you can find anywhere in that area. Prepare to have 75 yds of line stripped out while you just hold up your rod and laugh your ass off.
Ladyfish are really cool, they seem to be a very small version of a Tarpon, something like a pound or two, but jump and jump and jump on the line. Really cool.
I think there is Pompano off the real beach (Atlantic) all over that area and Kingfish is basically a big Mackerel that everyone chases offshore if the timing is right. If you had the time, I'd head to Islamorada for some of the best flats fishing in the states, or cross to Tampa/Clearwater for some Tarpon or Cobia.
I've got no names for guides, but you should be able to churn up a few good names by some research on Google.
Enjoy!