Inej yes. Jesper is a little more complicated because he would have spoken predominantly Kerch at home since his father didn’t speak Zemeni. I am NOT into Kaz sounding like a New Yorker, but your head canons are your own ;)
With the intrinsically epic qualities of his world-weary raspy voice and razor sharp tongue, the only way I can hear Kaz is like David Hayter, who voices Solid Snake in the Metal Gear franchise. :)