Hi, I'm Elise, a fellow user like yourself and I'd be happy to help with your issue.
It sounds like you need to also setup port forwarding for the new PC on your router, in this case you will need to use a different external port so you can tell the difference between the new and old PC.
Then when you connect from outside the network, you would use the external IP address of the router with the new external port you have assigned in port forwarding.
There is an article here which gives a bit of background on the process:
https://learn.microsoft.com/en-us/windows-serve...
If you are unsure on any of this, please let me know if you need any further assistance.
Kind Regards,
Elise