I am about 30 minutes north of Jacksonville. Are you working at Atlantic Dry Dock or Mayport Naval Base? There is not a lot do do in downtown Jacksonville. Everything is on the outskirts. We are the size of LA but have no where near the population. JAX beach is probally your best bet for where all the action is or places to go during the week. On the weekend you have plenty to see and do within 2-3 hours drive, Daytona, Saint Augustine, Amelia Island and Orlando. We also have the TPC coming up (The Players Championship, golf) that is a really big draw for the area. Let me know if there is anything else you need to know. When are you headed here?
http://www.jacksonvillebeach.org/