emma and raymond are plural so therefore it will be the they form of the verb. And you are using the three word future so it would be the present tense form as it says in the question
1. Yo espero que tú hables español. 2. Espero regresar temprano. 3. Pienso queesun buen hombre. 4. No creo quevengatemprano. 5. Es nesesario quevuelvaspronto.