I often see this confusion about LE, AI and Elements. They share the same installer but are different Versions. Wich one of those three do you have? If i am recall correctly the Groove Agent 4 SE is only available in Elements and not in AI or LE
When you open Halion Sonic SE and try to load a program you may be not seeing the filters. In the bottom left of the preset picker window there is the Set up Window Layout button. If you click on this and enable the filters checkbox you should be able to filter the preset type i.e. Drums&Perc
I think in all versions of Halion Sonic SE there should be some drum sounds although your choices might be limited in the lightest versions.