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Verified Answer :

1st one is hablan A.
2nd one is escribas A.
3rd one is llevamos C.

Nxkki
  1. Queiro que ustedes hablen español.

    Why? 
    X- Hablan is used for a question, such as: "¿Ustedes hablan español?" ( Do you all speak Spanish? )

    X- Hablar is more of a question/ demand. For example: "Ella va hablar" ( She's going to speak ) or "¿Usted va hablar español?" ( Are you going to speak Spanish? )

    X- Hablaron is more of a statement. Example: "Ellos hablaron español" ( They spoke spanish. )

    2. Prefiero que escribas una carta.

    Why?
    X- Escribe is a demand. Example: "Escribe una carta." ( Write a letter. )

    X- Escribí is a statement. Example: "Yo escribí una carta." ( I wrote a letter. )

    X- Escribo is also a statement. Example: "Yo escribo una carta." ( I write a letter. )

    3. La agente de viajes recomienda que nosotros llevemos poco equipaje.

    X- Llevar is wrong because it doesn't quite fit any sentence, except "Ella va a llevar un poco" ( She's going to take a little bit. )

    X- Llevábamos is not a word in spanish.

    X- Llevamos is a statement. Example: "Nosotros llevámos un poco." ( We took a little. )

    So the answers would be:
    1. Hablen
    2. Escribas
    3. Llevemos

    Hope this helps!~