Driving on a suspended license can be a criminal or civil case in Florida. Too many charges of driving while suspended can result in a 5-year revocation of a driver's license as a habitual offender.
Roadblocks or "Roadside Safety Checkpoints" as they are referred to by law enforcement are legal only if the police follow the rules. Yes, the Constitution does still apply as do the laws of the State of Florida, even though it certainly does not feel like it or a particular law enforcement officer's god complex has raised its ugly head. In order to be legal, they have to have followed several steps including publishing an operational plan, communicating the plan and then actually complying with the operational plan.