They should work as long as it is not 75Mhz FM. If its 75Hhz FM, Hitec and Airtronics use diff phase shift signals. Hitec is neg shift and Air is positive shift, but again, this is only for 75Mhz FM, the others are supposed to work together.
You will need to use matching crystals, I've never been able to mix crystals between manufacturers. There's enough tolerance between them they they won't work unless its a set, tx and rx crystals. Shouldn't matter whose, but they have to be same manufacturer, tx and rx.