Hello.
Yes, as You can see from your Software log, phone's modem part is damaged:
This can be Software (modem firmware or EFS is damaged, or You have written unsuitable firmware) or HW problem.
You should re-flash the device with different firmwares and check, whether modem is correct (not Unknown). And only then (when phone's modem part will be correct) perform the "Repair IMEI" operation. It is not possible to repair IMEI, if phone's modem part is damaged.