The LiteSpeed service on your WHM stops every day at a certain time, and you need to restart LSWS to bring it back. The following day, the same things happens. wswarch.sh is running well. So, what is causing such LiteSpeed instability?
Beyond some technical reason, an incorrect license type will also cause the LSWS service to become unstable.
For example, you may see something similar when you check your license: /usr/local/lsws/bin/lshttpd -V
2018-09-21 10:35:40.633173[NOTICE] Memory size is: 16265880KB. [ERROR] Ultra VPS license can not be used on VPS with more than 8GB memory. Please upgrade your license to 1-CPU license!
Don't ignore such license errors when you see them. Upgrading your license should fix the stability issue.