Looks like plain -a- is spelling what would be shwa in English.
-ch- = -s- in Mechadóniya = Macedonia
-ch- = -th- in Bichíniya = Bithynia
#j- = #s- in Jíriya = Syria
-ach# = -us in Bontach = Pontus
Et voilà: Jayprach = Cyprus.

Well analyzed!

Burarra is one of those languages with a length/voicing distinction in consonants, but it doesn't occur initially. Initially they just write the "voiced" (= short) one. So "j" and "ch" don't contrast initially.

Incidentally, I think the accents are spurious - no one I know would do anything other then initial stress for any of these place names.