My question involves landlord-tenant law in the State of: Florida

I signed an 11.5 month lease with a state university owned apartment complex. After moving back in for the spring term(jan 2010) I noticed an apparent water leak and mold forming in one of the two bathrooms. I immediately called maintenance as I have asthma and know mold is a big trigger. No visit from maintenance. Feb comes, another work request put in, no visit from maintenance. March, another request, no visit. In early april I went to the main office to complain and they sent a personal email to heads of housing and maintenance. A week later, still no reply. Finally in mid April I sent a certified letter complaining to the main office and followed up by visiting the main office. They had maintenance come the following day to paint over the mold with some sort of mixture that is supposed to kill it. The excuse from main office was that they thought it had been taken care of already, bad communication between the office and maintenance and the fact that i should have come to the main office directly, even though policy states to contact all work requests through maintenance.

My question is do I have a strong enough case to take to small claims court if need be to sue them over the summer term rent, which would be from 5/1-8-1, (which would be when my lease is up) if I move out before then.

I have photo evidence of the mold growth as well as a in home test kit that was positive(although for what kind i do not know as of yet). Also, if I was to take it to small claims, who would I name as the person responsible? Simply the name of the university, or residence life, etc.

Thank You.