The correct answer would be “El director del programa insiste en que nosotros salgamos después de la fiesta.”
Gusta- because you are speaking in the yo form, the answer will be found in the layout of conjugations (pronouns) that goes like this. I=yo : Tú= you : El/Ella/Usted= he, she, or it. : Nosotros=we/us : Vosotros= y'all (this is literally what it means I'm not just ps
1. Roja, 2. Alta- these are the correct ones