Dallas Cowboys team captain Tyrone Crawford ain't apologizing for his role in a bar brawl last March ... telling reporters Thursday, "I handled the situation to the best of my abilities."
We broke the story, TC shoved, pushed and threw punches at bar security on March 15 in Panama City Beach, FL ... and in a video we obtained, you can see him straight-up mauling people.
In fact, we're told Crawford also got physical with AT LEAST two police officers as they tried to break up the scene.