Here we have a dialogue between Leti, Sergio and Susi, so we need to use the simple future tense. In this way, we use the Spanish simple future to talk about what will or shall happen. It is also used to talk about the possibility of what someone may or might be doing in the present.
1. Right
seré
Leti: Cuando tenga 30 años seré una arqueóloga famosa.
Seré is the conjugation of the verb ser for the first person singular in the simple future. This person is yo in Spanish that means I in English. In Spanish, it is common not to include the subject pronoun in a sentence, that's the reason why yo hasn't been included. The verb ser is being used here as occupation. Basically, it's what someone does for a living or as a hobby. So Leti will be a famous archaeologist.
2. Right
habré
Leti: Para entonces, habré descubierto unas ruinas indígenas muy importantes
Habré is the conjugation of the verb haber for the first person singular in the simple future. This sentence also stands for the simple future because Leti continues to talk about herself here. So when she is an archaeologist, she will discover very important indigenous ruins
3. Right
tendré
Sergio: Yo tendré un programa de viajes en la televisión
Tendré is the conjugation of the verb tener for the first person singular in the simple future. As you can see from this sentence, the subject pronoun yo has been included, however, the sentence would also be valid if we'd remove the subject pronoun yo like this:
Tendré un programa de viajes en la televisión
4. Right
visitaré
Sergio: Visitaré lugares hermosos y muy interesantes
Visitaré is the conjugation of the verb visitar for the first person singular in the simple future. So here Sergio continue to talk about what he will do in the future. In this sentence, we haven't included the subject pronoun yo and is valid to do this. Therefore, Sergio will visit beautiful and very interesting places
5. Right
vendrás
Susi: Entonces vendrás a visitarme a mi restaurante de comida caribeña...
Vendrás is the conjugation of the verb venir for the second person singular in the simple future. If we include the subject pronoun tú before the word vendrás the sentence is valid, if we don't the sentence is also valid. Therefore, Susi thinks Sergio will come to visit her at her restaurant.
6. Right
abrirá
Susi: Entonces vendrás a visitarme a mi restaurante de comida caribeña que abrirá en santo domingo, ¿verdad?
Abrirá is the conjugation of the verb abrir for the third person singular in the simple future. The word que before the conjugated verb acts as a pronoun and is used referring to something previously mentioned when introducing a clause giving further information. Other important thing is the final question ¿verdad? that translates as right?
7. Right
tendrá
Susi: El sabor dominicano tendrá los mejores platos tradicionales y otros creados por mí
Tendrá is the conjugation of the verb tener for the third person singular in the simple future. So Susi continues to talk about her restaurant. The Dominican flavor (el sabor dominicano) as she says is the name of her restaurant will have the best traditional dishes. Moreover, other dishes will be created by herself.
8. Right
iré
Sergio: Claro que sí, iré a comer las especialidades
Sergio starts with an affirmative response. In fact, he'll go to Susi's restaurant. So iré is the conjugation of the verb ir for the first person singular in the simple future. Notice that, as in previous sentences, the subject pronoun yo hasn't been included. Anyway, the sentence si valid.
9. Right
lo recomendaré
Sergio: ...y lo recomendaré a mis telespectadores
Here we use the direct object pronoun that matches the third person singular (for masculine nouns), which is lo. A direct object pronoun replaces a direct object, that is a noun that directly receives the action of a verb in a sentence. So lo replaces el restaurante here, which is the direct object. On the other hand, recomendaré is the conjugation of the verb recomendar for the first person singular in the simple future.
10. Right
podremos
Sergio: También podremos visitar a Leti en sus expediciones.
Podremos is the conjugation of the verb poder for the first person plural in the simple future. Notice that in this sentence we have include neither the subject pronoun nor a noun because the context gives us enough information about it. These are also valid sentences:
Sergio: También tú y yo podremos visitar a Leti en sus expediciones.
Sergio: También nosotros podremos visitar a Leti en sus expediciones.
ANSWERS 11 and 12 HAVE BEEN ATTACHED IN THE FILE BELOW.