Yeah, there's some Greek inspiration. I'm tempted to push the first palatalization onto the plain velars so as not to appear too derivative (except then it would be derivative of Phrygian- so who cares, really?). IIRC, though, Greek only differentiated the laryngeals when they were word-initial before a consonant.
I also don't like the vowel shift too much. I'm going to give it a rework this afternoon. I like the look of the language, though- it doesn't look much like Greek or Latin.
EDIT: Thinking about whether to palatalize mainly the plain or the labiovelars- if the former, then I'll just turn the labiovelars into velars under all circumstances; they don't appear as such right now. That'd give hatāras instead of tsatāras and waga instead of waza- slightly more recognizable, I suppose. Old Oxic is most closely related to Graeco-Phrygian, in any case, but these are separate developments. I'm still not sure and may flip a coin.
EDIT TO THE EDIT: The first palatalization now applies to the plain velars, with the labiovelars screwing with a few vowels and then merging to become plain velars. Also, I've come to peace with the vowel system- if Old Oxic is going to look like Persian, then so be it. I'm rather fond of Persian.