That will most likely not work. Cameras and NCS are supposed to be on the same LAN. I assume that the IP above goes to the router at the school and in the router you have both a NAT and PAT to send it to http://cameraIP.
But this solution will not work anyway since the URL to the camera in NCS for receiving the streaming mjpeg video is http://username:password@cameraIP:80/video.cgi
Are going to use NCS for motion detection or recording or just for relaying the video?
Also, how do you plan to let the parents connect to the NCS server to see the video? If you use https there you need to use https on that side too?
I suggest a solution where you have the camera and NCS on the same LAN in the school. The parents can connect to NCS with the web client as above https://188.8.131.52:8700 In the router you use NAT and PAT the send the request to the NCS server http://NCS-IP:8100. Or you can exchange 8700 for 8100 so you do not need the PAT.
With the https://184.108.40.206:8700/ I assume your router have a valid SSL certificate. Well I see that you use a d-link router with a non valid certificate