Cymbals are picked up by a few mics (depending on which library you're using). Mostly it's the OH mics, but they come through some of the ambient mics also. There's no way to send individual cymbals to individual tracks in your DAW (at least not without using an instance of EZD for each cymbal) with either EZD or S2.0.
Toms do have their individual mics, which can be sent to their own track in your DAW with S2.0. In EZD, I believe they can only go to a group Toms track, but I may be mis-remembering that. Perhaps it's as flexible as S2.0. They also get picked up by things like OH, the snare, the kick, the hats, and the ambient mics.
To enable Muliti-Out in EZD, go to the Mixer view, and locate one of the mic names down the bottom of the screen. Right-click on one of the mic names and select the option Multi-Out. Once done, you can then specify where you want mics to be routed within EZD by right-clicking in the same (mic name) area.
You will then need to activate Multi-Out in your DAW, most likely. In Cubase, you do this by pressing F11 to bring up the VST window, then clicking on the 'arrow in a square' icon and choosing 'activate all outputs'. In Reaper, I can't quite remember how to do this. I think you need to open the Track FX window, load the Toontrack plug-in you have loaded, click on Options and I believe there's an 'activate all outputs' option.