Other mistake: Doaks says he saw the man's gun and chased him, lots of questions arise about what happened, but no-one mentions how a cop has no right to ask a person about a gun they have on them without probable cause. Doaks has no reason to even go after the guy.
Suggested correction: Florida is not an open carry state, so if the man was displaying a gun, the cop had probable cause to pursue and question. Even if the man had a permit to carry a weapon, per Florida law, that weapon must remain concealed. If the cop could see the gun, it was a violation of the law and the cop could not only question, but arrest him.