The State of Florida has been very proactive in looking to protect the residents of Florida. The Board maintains online physician profiles that list legal and administrative actions taken against. The site also lists liability awards of more than $100,000.
Keep in mind that any surgeon in practice long enough will have been sued for malpractice. That is a reality of our legal system. A single lawsuit should not be a reason to avoid a particular surgeon unless there was an associated administrative action taken against the doctor. However, a pattern of lawsuits is another matter.
Equally important is finding a surgeon with specialized training and knowledge of eyelid surgery. The most throughly trained eyelid surgeons are oculoplastic surgeons. These are individuals who are board certified ophthalmologists who are fellowship trained in eyelid, orbital, and facial plastic surgery.
The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a website that can help you find and eye plastic surgeon close to your location.