Hi i have a fuji s5600 finepix (i think its the model before yours)
I have tried to get the maco to work but unfortunatly like you have dicovered the camera keeps focusing on the background, I have not worked out how to prevent this.
The only way i can get around it is to use the apature priority mode to force a narrow apature so it is forced to focus on something closer. It works some times but it is a lot of hassle. However its landscape photos it gives are unrivalled, my dad with a cannon slr struggles to get the same detail
tell me if you find a way to sort out the macro problem
Cheers
Poirot