Legal Question in Credit and Debt Law in Florida

Let's assume the veterinary treatment was performed in Florida, and there's no contract under which you've been making payments. Let me re-write the question: "I went to my veterinarian in 2009 for (whatever). My veterinarian either sent me a bill then, which I did not pay; or just now, in 2016, sent a bill for services that he performed in 2009. Am I liable now to pay the bill for services rendered in 2009?" Under those circumstances, the answer is no.