For both questions, we observe that we must fill in the blanks with the same verb.
The verb is:
Gustar
What changes in the questions is the conjugation of the verb.
Question 1:
For this case what we must do is fill in the blank with the conjugation of the verb in the second person of the singular.
We have then:
A ti te gustan los días de fiesta.
Question 2:
For this case we must fill in the blank with the conjugation of the verb for the third person of the plural.
We have then:
A ellos les gusta mucho la familia