Hi,
You'll have to split those issues since they are different, logging/starting.
But I think you will be able to just continue with the "not starting at all" if you read the following about the logs not going where you want:
Fix the logging, or not and then give us more information about the "not starting" part by sharing things like your config, properly enclosed in triple backticks like ``` , and the output of the following (also properly enclosed):
sudo journalctl -u filebeat.service
sudo systemctl status filebeat
sudo systemctl start filebeat
If you changed anything else after you installed filebeat via yum, describe and share those changes too.