My question involves criminal law for the state of: Florida

I was on vacation in Florida, rented a car there, went out to a nice restaurant, and left my car with the paid valet parking service they had. I come back after dinner, and they tell me that there was a problem with the car - someone broke the window, got inside and stole my personal GPS (not from the rental company), while the car was parked in a lot they have contract with.
So I had to drive back with a broken window at night in a rain, then next morning I had to go back to the rental car company, change the cars, pay for the GPS rental, change my vacation plans, and since the damage to the rental car was covered under my personal insurance, I'm waiting to hear whether or not I have to pay anything from my pocket for that.
The valet company told me to contact the manager of the parking where the incident happened, and the manager agreed to cover only the cost of the stolen item, and nothing else.
I'm wondering whether or not I can sue the valet company so that they cover not only the cost of the stolen item, but also all the other expenses related to this incident.