To be frank the PlayStation network has been somewhat hit-or-miss lately. Quite a few are having problems getting logged in, having things time out. I had the same thing myself until just today. For some reason a sub account I made up was able to log in no problem. After that I could get on with no problem on the master.
Basically what I'm saying is the problem may be in Sony's equipment and not yours. You could try setting up a sub account and see if it gets through. If it does maybe then you can get logged in on your master account.
To be sure, however, you could try putting in some of the numbers you left as automatic before such as the DNS servers, subnet mask and router ip.