The balcony is a "must have." I think your room will also have a separate shower and potty. Both have sinks and mirrors which meant both my DH and I could get ready at the same time while 5-year old DS watched Buzz (or the movie of the moment) at the same time.
We are switching to a Cat 6 next time which is slightly less expensive. Not sure of our stateroom number but its supposed to be in the middle of the boat, same as 7562, with all the same amenities.