Rock Paper Scissors game not replaying correctly

Question

I am having so much trouble with something that shouldn't be so hard. I can't get my program to playagain correctly. I would appreciate the help, here's the code. Also this is my first post, it may look wierd.

package rpsgame;

    import java.util.Scanner;
    import java.util.Random;

    public class RockPaperScissors {
        public static void main(String[] args) {
            //variables
            final int ROCK = 0;
            final int PAPER = 1;
            final int Scissors = 2;
            int played = 0;
            boolean playing = true;

            Scanner scan = new Scanner(System.in);
            Random rng = new Random();

            //User and Computer input
            int compChose;
            int youChose;

            //Program
            System.out.println("=:=:=| Hello I'm Compy! Let's Play Rock-Paper-Scissors!|=:=:=");
            //System.out.println("Here are the rules.\n" + "Rock beats Scissors.\n" + "Scissors beat Paper.\n" + "Paper beats Rock.");
            while (playing == true) {

                while (played < 6) {


                    //Ask for some input
                    System.out.println("Rock = 0\n" + "Paper = 1\n" + "Scissors = 2\n" + "Please enter your choice.\n");

                    //Get numbers 0 , 1, or 2.
                    youChose = scan.nextInt();

                    //case for invalid choice.
                    if (youChose < 0 || youChose > 3) {
                        System.out.println("Invalid choice, Game Over.");
                        System.exit(0);
                    }
                    //Generate computers choice
                    compChose = rng.nextInt(3);
                    //Draws
                    if (youChose == compChose) {
                        if (youChose == 0) {
                            System.out.println("Both players chose rock!\n" + "It's a tie!");
                        } else if (youChose == 1) {
                            System.out.println("Both playes chose paper!\n" + "It's a tie!");
                        } else {
                            System.out.println("Both players chose Scissors!\n" + "It's a tie!");
                        }
                        played++;
                    }
                    //Rock
                    if (youChose == 0) {
                        if (compChose == 1) {
                            System.out.println("You chose rock; Compy chose paper.");
                            System.out.println("Compy Wins!\n");
                        } else {
                            System.out.println("You chose rock; Compy chose scissors.");
                            System.out.println("You win!\n");
                        }
                        played++;
                    }
                    //Paper
                    else if (youChose == 1) {
                        if (compChose == 0) {
                            System.out.println("You chose paper; Compy chose rock.");
                            System.out.println("Compy Wins\n");
                        } else {
                            System.out.println("You chose paper; Compy chose scissors.");
                            System.out.println("Compy wins!\n");
                        }
                        played++;
                    }
                    //Scissors
                    else    // User chooses scissors
                    {
                        if (compChose == 0) {
                            System.out.println("You chose scissors; Compy chose rock.");
                            System.out.println("Compy wins!\n");
                        } else {
                            System.out.println("You chose scissors; Compy chose paper.");
                            System.out.println("You win!\n");
                        }
                        played++;
                    }
                    if (played > 6) {
                        System.out.println("Do you want to play again? (Yes/No)");
                        String playagain = scan.nextLine();
                        if (playagain == "yes") {
                            playing = true;
                        } else {
                            playing = false;
                        }
                    }
                }
            }
        }
    }
}