1) 192.168.1.2 is your PC address internally (the one that runs Calibre). Leave that in the NAT-Virtual Server page you posted for port 8080 (make sure that Calibre's Server is set to 8080)
2) 192.168.1.1 is your router address internally. Take that out of the NAT-Virtual Server page for port 8080
3) You don't need port triggering at all. Remove the address from NAT-Port Triggering.
4)After you've made those changes, you are almost there Go to:
http://www.whatismyip.com/
That will tell you your external (WAN) address on the internet. Say it tells you your address is 75.86.15.48.
Then go to any computer with internet access and type the following into the address bar:
http://75.86.15.48:8080
You should see a login for your Calibre server.
It will stay valid until you reboot your router or otherwise change your ip address on the internet. To get a permanent URL address, like hamlet53.dyndns.org:8080 that never changes, you should set up dyndns on your router (or run it separately if your router does not support it.)