Any time you see the log messages after a reboot those will be there... it's juts part of the process.
With everything that has been done you signal power levels look low but within spec to provide service.
Your devices behind the router wouldn't affect the CM from providing access to the ouside world though.
Logs on the CM don't persist beyond reboots though so, that makes it difficult to review them if it's offline and you or CC reboot the modem remotely. If you can capture them the next time it goes down it would provide some insight as to what's happening until a CC EE can take a look at the CMTS logs for you.
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