C.C.
WOW, you are really looking at this other child through an adult lens. Take one huge step back for some perspective.
Mall: Your daughter told her she would be back in an hour. During that time the girl looked for something fun to do and ended up at the mall with another girl. She is 13 - short attention span, poor sense of time - she did not have the adult sense to say "one hour to see my friend, hmm, how about I just get some dusting done til I hear from her".
Orthodontist: She is 13, she lacked the sense to not make plans for right after a doctor's appointment. A few days ago a friend of mine told me that a certain night would not be a good night for her to meet for dinner because of a gyn appointment earlier that evening. The gyn has no bearing on my friend's ability to eat a bowl of pasta! But, as an adult, she has the big-picture sense to realize that she might be feeling "icky" after the appointment, so she doesn't make plans for that time.
Practice piano: Maybe not really her "choice"!! She is 13! Maybe her mom had been riding her to practice for a few days and she was in trouble.
So, in conclusion - I do not necessarily think that there is anything wrong with this girl. But if your daughter is "done", well, good luck to her in finding more mature 13-year-olds.