I highly doubt both the things you talked about.
First of all, if she's really 29, I'm sure the media would go crazy over this fact. Plus it's not that easy to hide your age since somehow, even the most confidential information gets leak out sometime.
About the surgery, the media would go even more crazy on this fact if they do have ANY REAL evidence, the fact that they cannot find any evidence around this topic mean it's not a real fact that she has surgery. Think about it, if any newspaper got a hold of ayu's surgery info, that issue will be sold really well and who wouldn't want that profit. If this issue is talk about a lot, I'm sure the media has try searching for it and maybe it turns out she did not have surgery. Of course, they wouldn't make an issue in their magazine saying "Ayu did not have surgery." lol.
Second of all, most people who uses her old pics to compare use ayu's pic when she's like 15-18. People do change a lot in 7-9 years. And OBVIOUSLY, she'll look a lot better now because Avex wouldn't spend tens of thousands of dollars of make up on her if it doesn't make her a hell lot prettier. I'm sure almost every star you find will look a lot nicer when music company got a hold of them, not to mention Ayu is Avex biggest source of $, of course Avex would spend even more on her.
I rest my case.