Hight speed Train from ZhongShan to Guilin require information.

1. We are planning to take train from Zhuhai to ZhongShan in Oct 2018. Is there any high speed train for this route? and which train station to catch it from and to.
2. We also want to visit Guilin from ZhongShan. Is there any high speed train from ZhongShan to Guilin directly? Can someone please help. Any information will be appreciate. We are not really familiar with China train system. Thanks