Incorrect. The answer should be “Mi hermano y yo te estamos mirando” or “mi hermano y yo lo estamos mirando”
It would be "Diana prefiere que nosotros tragamos la comida para las vacaciones" because you have to conjugate the verb "tragar" for Nosotros, so you would replace the "-AR" ending with "Amos".
I believe it might be “soy”
Yesterday I went to the library and took out a ______ and a ______