RF Detector?

Take a computer that is not connected to the internet and plug the NVR into the ethernet port of the computer. Make sure the computer and NVR are on the same IP subnet. Then open a web browser and type in the IP address of the NVR or open SmartPSSLite.
 
You shouldn't need to be proficient in networking to run some of these steps, especially this part:
In terms of router security:

If you are struggling to interpret the results, just post them here. What AV are you running on your PC (and what OS)?
 
Honestly, I am not well versed when it comes to networking.
OK, but here is a simple non-technical thing that you can do that may provide potentially useful information.
One of the many services that will do an inbound scan from the internet to see if there are any holes in your inbound firewall protection.

This just needs you to 'connect the NVR to the internet' as you've described you normally do for reviewing recordings, and use the browser on your PC to visit this site that can check inbound access -
Use the first 'Proceed' button, then select the 'All Service Ports' option.
Wait for the scan result, hopefully all green.