Based on what you said, you didn't actually pay rent. In any case, you can fight it by deposition the rent with the court, then you will be allowed to assert defenses. Whether you have defenses or not I don't know, you would need an attorney to review your situation, the notice to see if it was done properly, etc. You might want to contact Legal Aid in Jacksonville to see if you qualify for any assistance from them.
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Because you have been late on your rent payment, your landlord has the right to post a 3-day notice on your door which demands that you pay rent in FULL within those three days or have your lease agreement terminated. Once the 3-day period has expired and the landlord has filed an eviction against you (which appears to be the case in your situation) they have the right to terminate your residency and get an eviction against you even if you NOW agree to pay everything. As the individual above said, perhaps you have some defenses to rent payment; but based on what information you chose to share, that is not likely. It may be worth speaking with an attorney (Jacksonville Area Legal Aid "JALA" was a great suggestion!) to make sure you don't have defenses... but honestly, it sounds like the most likely possibility of being able to stay is if you work something out with the landlord and get them to cancel the eviction proceedings; unfortunately, this is not something they have to agree no matter what you offer. But they are people too, and maybe if you offer to pay your balance in full and reimburse them for the costs they've now incurred in having to file an eviction against you, they'll allow you to stay.
I agree with Attorney Murrell but would add that you may want to consider looking at your lease agreement as well. In some occasions (not often), the lease may require different procedures/time frames from what are stated in the Florida statutes for defaults on rent payment or other provisions of the lease agreement. As Mr. Murrell stated, hopefully you are be able to work out an agreement with the apartment complex in either case. All the best!
The information contained in this answer is not,nor is it intended to be, legal advice. Please consult an attorney for information related to your specific situation. Further, this answer does not form an attorney-client relationship between the attorney and the individual(s) or entity requesting information.