You activate all services from serviceability page under tools --> service activation, the first one listed is CM service which provides call processing, is it not started there? There is a checkbox to check and press Activate button.
These are the paths to get to each CCX logs through CLI. They may be helpful if you are having issues accessing RTMT or downloading logs through it.
If you want to download them you have to prefix "file get " and you can add one of the options (re...