I would use
No, no me gusta la biblioteca.
I am hispanic and know spanish from an early age and this is the only one that makes sense.
P.S. In the question it is asking you if you like the library and 1 says Yes, I likes the library 2. Yes, you like the library 3. No I do not like the library and 4 No, you do not like the library, therefore number 3 is correct.
Sorry if that was a little to much
Answer:
Yo me acuesto temprano
Ella se baña con agua fría
Tu te sientas cuando estas cansado
Rosa se peina antes de ir a la fiesta
Los niños se duermen después de mirar la televisión
Usted se pone el suéter que compro
Nosotros nos levantamos tarde los domingos
