intrest limit and do any publish names of past dues

This a three part
part one what is the allowed interest rate on past dues in Florida?
part two are past due names published?
part three what would be the justification for doing that?

part one what is the allowed interest rate on past dues in Florida?

per FL 720.3085 [emphasis added]:

(3) Assessments and installments on assessments that are not paid when due bear interest from the due date until paid at the rate provided in the declaration of covenants or the bylaws of the association, which rate may not exceed the rate allowed by law. If no rate is provided in the declaration or bylaws, interest accrues at the rate of 18 percent per year.
(a) If the declaration or bylaws so provide, the association may also charge an administrative late fee not to exceed the greater of $25 or 5 percent of the amount of each installment that is paid past the due date.
(b) Any payment received by an association and accepted shall be applied first to any interest accrued, then to any administrative late fee, then to any costs and reasonable attorney’s fees incurred in collection, and then to the delinquent assessment. This paragraph applies notwithstanding any restrictive endorsement, designation, or instruction placed on or accompanying a payment. A late fee is not subject to the provisions of chapter 687 and is not a fine.

If your Association is covered under a different statute, you can check that statute out at:

http://www.leg.state.fl.us/statutes/index.cfm?App_mode=Display_Index&Title_Request=XL#TitleXL

part two are past due names published?

That is a decision each Association has to make on it's own.

Typically, there is no rule against publishing the names and discussions on this site have given mixed opinions on the benefits of publishing the names.

part three what would be the justification for doing that?

Peer pressure.

Additionally, if the member would be embarrassed if they knew that names would be published, they may make more of an effort to make sure the assessment is paid.

If you want to read some of the discussions we have had, do a search for "publish names" by clicking on the search icon on the right side of the page above the forums.

The allowable interest rate in our Declaration (8%) is not germane to the question, but since the question of whether to publish non or late payees names, I know of one HOA in this city that publishes the names of those who HAVE paid. Somewhat a reversal, but nonetheless, if you're looking for your neighbor's name and don't see it, it remains an element of peer pressure.

I for one do advocate listing (often called public shaming) those behind in their dues.

Not all advocate it.

If left up to me here would be a sign at the entrance listing those behind in their dues, but that is just me.