Age: yes. The Secret Invasion flashback is really explicit in this regard. We hear she just got appointed to the job and this is the celebration ceremony (also, this is the first and last time so far we see her in a dress), and the Skrull she gets introduced to says something like "we've been following your career with some interest; director at 28, that's impressive".

Do you recall which comic this was in? I've scanned through all 8 issues of Secret Invasion and didn't see it. I can look harder, but it's not jumping out at me...