Hastings told the MP that he should "slow down".
The member has asked Hastings twice for his credentials. Hastings responded that he was "a law enforcement officer and that his credentials were in the office," the sheriff's office said.
"He told the deputy minister that he could follow him up to the" station "so that he could get and show him his credentials," said the sheriff's office.
Hastings attempted to escape after the MP called 911, but was arrested and arrested by the Hillsborough County Sheriff.
A functional siren and lamp similar to those used by Hillsborough County officers and a CB radio were found in the car, the office said.
Hastings was arrested for pretending to be a public officer, the bureau said.
Hillsborough County is part of Tampa-St. Petersburg-Clearwater Metro. Lee County is further south.