Cute! Whenever you are considering buying a horse/pony, ask yourself these questions:
1. Can it do what I want?
2. Do I like it?
3. Will I be able to ride him/her for a long time
4. Can it show the level I want to (if you are interested in showing).
I like this pony. It's cute! Seems dependable and good natured. Nice movement from the flat photos. Arabs in my area can do quite well in higher level shows, provided they have a lot of pizzaz that the judge likes to see. So, I would venture to say from what I see, this pony could do well in lower leveled shows.
The bottom line? Do you love her? The only question of age is making sure there are no outlying medical conditions that will cause you a lot in vet bills later on. When you vet a horse of this age, yes, you will find problems, but are they problems that will mean she'll be lame more times than you can ride is the real questions. Good luck!