PROBLEM SOLVED!
I read and tried everything to get my iPad2 to function on my router (Wi-Fi). EVERYTHING!
Two days ago I went to my doctors office and used his Wi-Fi connection. Everything worked fine. I stayed there for 30 mins to make sure because, at home, it would occasionally work in the early morning for a few minutes then stop. In Settings everything was totally normal. The connection was there, everything checked out. But if I went into Safari it would say it couldn't find the Server! Frustrating!
Amazingly, after exercising the unit at my doctors office it has now worked perfectly for three days! I now have essentially have a new iPad2. iOS 5, and a browser! What else could I want? (except my wife and I bought two Amazon Kendal Fires, just to see what the non-Apple people are doing.
But, I believe, somehow, exercising my iPad at my doctors office fixed my problem that had been going on for months!
Wild! Huh!
TaosGuy