need help getting arduino with ethernet shield to work.

I did lose the password as I made the admin password too complex for me to remember. I have considered resetting the router to factor settings, however what concerns me is that when the when time warner first set up the router. I found there were already entries in the routing table that I did not enter.
What are they, I don't know. If I reset to factory settings, and those entrees are erased, I am concerned about what may happen to the internet connection. Last thing we need is paying for a tech to come to our house to fix the modem.

So why don't you pick up the telephone and call time warner tech support? They should be able to tell you what you need to know over the phone. They may be able to remotely log into the router once it is reset and add any special setting you may need if you can't do it.