I wouldn't be in a hurry to resolve all of these claims together. There is no reason for you to resolve your bodily injury claims at this time. If you do not want to contact an attorney at this time, then just deal with the rental and property damage. When you determine better how you feel and the extent of any injuries you will be in a better position to consider an injury settlement
You have a potentially valid claim. Of course you have to prove that you are right to prevail. And given the amount at issue, I would say that small claims court is the only option. Unfortunately, to file suit against the county you will have to provide appropriate notices to the County and DFS in Florida, which can be a hassle.
Since it sounds like you are already obtaining medical care, I would suggest that you consult an attorney. Slip and fall cases typically require a lawsuit as most retailers issue blanket denials of liability regardless of the facts. You will need to talk to a lawyer about how you slipped and fell to determine whether Publix may be liable for the fall. Please feel free to contact me if you have any questions.
As others have said, Medicare gives you credit for procurement costs (attorney's fees and costs). Additionally, with a lien in excess of the available policy limits, they will reduce further. Finally, you are entitled to request they accept even less than they ordinarily would by providing detailed circumstances about why that is the case. While very unlikely, it is possible to have Medicare waive the lien altogether. I would speak with your attorney and get some more specifics about this...
Like was already mentioned, it has to be reckless behavior in order to potentially make a claim for improper handling of a dead body. Another possible avenue is negligent infliction of emotional distress, but in Florida that requires an actual physical injury to result from the event. Without more information, it's difficult to determine if either of those possible claims are present.
The medical provider needs to provide excellent care, first and foremost. For purposes of pursuing a claim for damages, it is important that the provider be thorough in evaluations and documentation of the physical condition, prior problems and what is discussed at client appointments. Finally, it is nice to have medical provider whose offices are run efficiently so that medical and billing records can be easily obtained as needed.
This is an Illinois case and so you will want to contact an Illinois attorney immediately. There are limitations on when you can bring a lawsuit, and given that you said it occurred several years ago, you may have already missed the time to bring the claim. An Illinois attorney would be able to tell you about the time limit in a quick phone call I suspect.