The root of integrity has to do with being wholly and completely honest. After having read Romeo and Juliet, any reader can tell that there has been secret after secret kept. For Montague and Capulet to find out at the end that this secret has been kept to protect them (R&J) was the tragedy. It actually ended up hurting them and their children.
Integrity also has to do with doing the right thing. I think both the Nurse and the Friar could have done a right thing by notifying the parents about what went on between Romeo and Juliet and encouraging them to talk with their children about how to make this right, without escalating the fighting between the families. If the parents had known, sure, they might have put punishments on their children, but they wouldn't have been life-threatening. Then they could have worked through some of this mess.
Responsibility is a key theme in the play "Romeo and Juliet" by William Shakespeare, and at whose door it should lie varies greatly from the highest to the lowest, from Romeo, through Juliet, Mercutio, the Montagues, the Capulets, Friar Laurence, others, and last but not least The Prince of Verona himself (or the mayor.) The Prince warns of possible consequences for the unreasonable feud between the two families and at the end of the play even appears to blame himself for "winking" (or turning a blind to) the squabbling. An interesting exercise or thesis would be to list each and every character and note their role/responsibilty for the tragedy. The truth is that even generations past would have some.
I'm not familiar with the CME values you mention, but if you're asking how respect, responsibility, and integrity could have influenced the fate of Romeo and Juliet, I can give you an idea about that.
Romeo and Juliet suffer their fate in the play, because their families are feuding. If their families weren't feuding, they could meet in public and not hide, court like couples normally do, etc. None of the events in the later acts that lead to their demise would occur if they could be open about their relationship.
The feud that leads to their deaths has been going on for a long time and is senseless. Respect would eliminate the feud between the families. They fight for no reason. The family members are bigoted, bullheaded, and closed-minded. They go in search for members of the other family in order to start a fight. They totally disrespect the other family. Respect would make a difference in Romeo and Juliet.
I'll let other editors handle responsibility and integrity.