A wipe and restore wouldn't hurt things, though you're going to end up getting 10.9.2. But, given that no other 2013 MBA users are complaining about glitches on 10.9.2, there's likely something specific to your installation, or the hardware. So a wipe and restore might fix it anyway.
If that doesn't work, the only way then would be to find someone with a disk image of 10.9.1 or 10.9.0 and install that fresh. If you download a copy now from the App store, it's going to be the latest release.
If you're having GPU problems though that the wipe and restore doesn't fix, you should probably bring that MBA in to a Genius bar or get a hold of Apple. The glitches were fixed for most 2013 MBA users a long time before 10.9.2, so if yours is showing problems, then something's wrong.