Okay I added 8081 to the Port Triggering:
fakename.no-ip.org:8081
EDIT: I'm going to bed now so I won't be able to test anything new until tomorrow evening.
I think what adds to the complication of my router port forwarding is that I have a DSL/Modem router and a Wifi router. Using the wi-fi router didn't work for utorrent so I didn't use it for testing the web server but now I'm wondering if I should use that instead of the modem router.
EDIT2: I added 8081 to my wi-fi port forwarding instead of my modem/dsl router and that seemed to have fixed the problem.