Nope. In order to have external FX assignable to channels and/or multiple outputs you’d need FX inserts on your mixer/controller. And while some mixers have that (quite a few of the better models actually), it’s rather limited on controllers. Obviously Serato uses some very high end FX (Izotope is well-known, also in the studio world for it’s plugins) and you can buy more FX for Serato. Obviously the more sophisticated pack might have some more advanced features and settings.
As far as AMD goes, it’s true they don’t support it as it’s known that AMD-based systems CAN be problematic. But a large percentage of machines will operate as expected.
One trick you could use is send master out to your EFX500, it’s output two an active stereo speaker switch and the hook up your PA and Booth to that. If the switch has two volume controls, you can still control both outputs independently.