Spoiler

 public override void Process()
        {
            base.Process();

            if (Game.LocalPlayer.Character.DistanceTo(Suspect) <= 10f)
            {
                Game.DisplayHelp("~b~Press ~y~'Y' ~b~to talk to the suspect", false);

                if (Game.IsKeyDown(System.Windows.Forms.Keys.Y))
                {
                         }
            }
            counter++;

            if (counter == 1)

                Game.DisplaySubtitle("~b~Officer: ~w~Hey " + maleFemale + ", I got called for a welfare check is everything ok here?");

            if (counter == 2)

                Game.DisplaySubtitle("~b~Suspect: ~w~Get the fuck out of here you ain't supposed to be here");

            if (counter == 3)

                Game.DisplaySubtitle("~b~Officer: ~w~You need to chill the fuck out  " + maleFemale + ", Where is the lady?");

            if (counter == 4)

                Game.DisplaySubtitle("~b~Suspect: ~w~Not sure");

            if (counter >= 5)

                Game.DisplayHelp("~b~No further speech.");

            if (Suspect.Exists()) Suspect.Tasks.Wander();
            if (Suspect.Exists()) Suspect.Tasks.FightAgainstClosestHatedTarget(200f, 1);

            if (Suspect != null && Suspect.IsValid() && (Suspect.IsDead || Suspect.IsCuffed))
            {
                End();
            }; }

 

 

Basically it spams my one that goes like No further speech and doesn't let me talk to them.

You increment the counter every tick (roughly every few milliseconds) so you have never the chance to read the previous text.