Eyma is located in a hut in Kachirho on Kashyyyk (waypoint -550 -132).
He gives you a mission part of the Civilian Protection Guild quest, which reward you with the Advanced X-wing, The Vaksai Starfighter, and the Imperial Guard TIE Interceptor.
Note that you can get only two of those ships (including the Vaksai Starfighter) and only if you do the Advanced X-wing or Imperial Guard TIE Interceptor Quest first.
If you do the Vaksai quest first you will be stuck.
It happened during a brief period of Pïlot Master bug that you could get the third ship quest.