No this isn't third person it is first, this is known because you know what the kids thoughts are and it keeps repeating what he is doing in his point of view and the word ' I ' keeps showing up so this is in first person
The fights between Mercutio and Tybalt and then between Romeo and Tybalt are chaotic; Tybalt kills Mercutio under Romeo's arm, flees, and then suddenly, and inexplicably, returns to fight Romeo, who kills him in revenge. Passion outweighs reason at every turn.