There is no actual coverage that is called "full coverage" however many people use this term to refer to having the state minimum required liability coverages plus coverages to protect your own vehicle. Thus full coverage normally refers to insurance coverage that includes physical damages of collision and comprehensive which cover the damages caused to your own vehicle.
Generally, collision insurance covers damage to your automobile caused by collision with another object or by upset. Comprehensive insurance covers damage to your automobile from vandalism, theft or glass breakage. As you mentioned lien holders typically require physical damage coverages if you are financing or leasing your vehicle.
Your financing company or lien holder should have mentioned in the loan or lease paperwork what specific coverage they require you to carry on the vehicle until it is paid in full. For Florida this likely means property damage liability (PD), Personal Injury Protection (PIP) and collision and comprehensive. They may have limitations on what your deductible amount should be set at as well so read through your paperwork or speak to your lien holder to determine what exact coverage you are required to carry.
To find out more about types of auto insurance coverages you can read Coverage Definitions in our Learning Center. Our Insurance Coverage Calculator may also be of help. If you want to speak to our agents instead of going through our online quoting system you can call us toll free in the United States at 1-800-964-4859.