The following are the list of ports you may need to forward on your router to connect to ArcheAge:
TCP ports: 80, 1237, 1239, 1250
You should be able to find instructions on how to forward these ports in your router, through the router's documentation.
Once your router's ports are set up for ArcheAge, you'll want to get the most recent Firmware updates from the manufacturer's website. Below is a list of the most popular router manufacturers and the links to their support websites:
You will need to follow the instructions in your router's documentation or on the manufacturer's support site to update the firmware.