Here lies the body of young juliet,
what she has done she will always regret!
at first she doesn't, but he tells her he is there eventually
Romeo. The other one is Juliet, as if you didn't know.
In Act 2, Scene 2 of Romeo and Juliet (the balcony scene), Juliet recognizes Romeo by his voice. "My ears have not yet drunk a hundred words of thy tongue's uttering, yet I know the sound."
I know but its a secret
The Nurse and Friar Lawrence knew about it before anyone else because the Friar performed the marriage and the Nurse was Juliet's close confidant so she told her everything.
No! The family does not know that Romeo and Juliet are getting married. But that is not the only marriage in the play. There is a planned wedding of Juliet to Paris. And that wedding the family does know about.
Juliet reveals her private thoughts that she would not have told romeo to his face
One example of this would be at the end when we know Juliet is not really dead but Romeo thinks she is.
Romeo does not want to fight Tybalt because he is Romeo's wife's cousin. But Tybalt does not know this, and neither does anyone else except Juliet, the Nurse and the Friar.
Balthazar tells him about Juliet's death and burial.
No she does not. Juliet's parents don't even know that she married Romeo
Not at first, but then he figures it out.