Hiya I had trouble with connecting to the internet in that every time I tried it, it showed the error code 80710102 whereby the ip test succeded but the internet connection test failed. I also tried using different primary and secondary DNS numbers with no success. However after opening certain ports I found I could connect again .
I got the ports from calling Sony directly but you can also get them off the internet they are:
TCP Ports: 80, 443, 5223, and 10070 - 10080
UDP Ports: 3478, 3479, 3658, and 10070
(I got these specifically from here http://www.absolute-playstation.com/playstation-ne
Hope this helps people with the same error who found that simply changing the DNS numbers didn't work See ya