Alex:
This is just a shot in the dark, but you appear to have an external IP address assigned in the field labeled Private IP Address in your IPv4 Port Map for Weather Station. On my setup, I assigned an internal IP address in that field. If all of your internal addresses start with 192, then you can ignore this paragraph.
For my iOS network connection, I use dyndns.org to create a proxy for the external static IP address I use for remoting in to my home network. Then in the WeatherCat iOS client, I simply list the name of the dyndns.org proxy name (without any prefix).
If you have static IP for your home network (you would obtain this from your ISP) simply enter that IP address without any prefix in the network setting on the client. If you don't have static IP, you either have to use dyndns (or a similar proxy service) or you enter the dynamic IP address for your router, but realize that it may change if you have to renew your lease (reboot) your router.
Assigning a static IP address to a computer on your home network is typically an internal IP address, not the external IP address you obtain from your ISP.