Yes, all of the states you listed - Florida, Rhode Island and New York - are members of the Drivers License Compact (DLC).

According to Rhode Island statutes the Division of Motor Vehicles is authorized to take action against the license of a RI resident if they are informed of an offense committed in another state. Likely this means that the out of state violation will be placed on your RI driving record but you should check with the RI DMV to find out for certain.

If you hold a Florida license and have received a ticket in another state, when Florida finds out about this moving violation the Florida Department of Highway Safety and Motor Services (HSMV) will add the out of state citation to your driving record. You will receive points on your license if the ticket is a point-accessible violation according to Florida Statute 322.27(3). Florida law does not allow any school or program to remove points for a ticket received in another state. Any unpaid ticket reported by another state will result in the suspension of your Florida license.

The New York State DMV does not record out-of-state violations committed by NYS drivers in other jurisdictions. The exceptions are alcohol-related violations, drug-related violations, and moving violations committed in Quebec or Ontario. Under special agreements, traffic convictions in Quebec or Ontario are recorded on NYS driver license records and carry points. Except for violations in Ontario and Quebec, points are not added to your NYS record for out-of-state violations.

There are only 5 states that are not part of the DLC. These states are Georgia, Massachusetts, Michigan, Tennessee and Wisconsin. Keep in mind though these states may, and probably do, have agreements with other states to share traffic ticket information and may still place an out of state ticket on their state licensed motorists driving records.