Has to be something about your computer setup.
First I should clarify something
The BB software stores ZERO information regarding your cookies, preferences or security setting. It is 100% on your machine.
Ive had about 200 people in total with issues of one form or other since migration. Im down to about half a dozen now.

"It said the site needed https// etc. There is no "s" in the address. I did uncheck the one box, got it in the box it needed to go, but still not reconizing me."
Unchecking the box accepts "http" rather than "https".
Don discovered this but didnt then indicate he had to do anything further at all after that. Perhaps you can check with him in case there was something else he didnt mention?

There are other aol users who have got it all sorted. There are one or two like you who havnt. Unfortunately I dont have aol (not even available here now) so I have no way of testing it or seeing how it works. In fact Ive never ever used it.