For the first one, its cita.
That is because when you go out with someone or plan its a cita or appointment with that person.
Not querer, because that means want. Does not make sense.
Not salir, although it does make sense why you would chose that but it does not sit well with this statement. When you go out with someone, its a out. Thats what it sounds like so it does not sound right.
Not enamorase, because it means falling in love. I dont think that would use that term also it does not sound right.
Hope this helps ;P