Screen resolution should be fine. As far as deleting cookies, it would delete all of them, but when you go back to the sites that had put them on your computer, they will just put a new one on so it isn't really a problem.
I have my browsers set up to automatically delete cookies every time I close them so that I don't end up with a bunch of tracking cookies following my every move on the web.
Since I don't have internet exploder, I can't look at my dashboard to see if I'm having the same problem.
Try logging out, emptying your browser cache, restarting your browser and then looking to see if the problem is resolved.