He does have a pretty head. Agreed with AB that it is strange he isn't suited to dressage but could event, he will not do well at eventing if his dressage isn't strong. Also, the dressage tests in eventing are the same tests as those in pure dressage so I am not sure how the seller plans to market the horse if that is their description.
Lastly - $4500 is waaaaay overpriced for a horse that is green over jumps, has only competed in low level dressage and cribs. His conformation isn't terrible but far from good. In addition to the faults already pointed out (particularly his back) I would like to add that he has a short neck in comparison to the rest of him, he is not the most balanced TB I have seen.
All horses deserve, at least once in their lives, to be loved by a little girl.