iCloud keeps asking for old obsolete apple ID
After updating my iMac to OS 10.9 I get repeated requests to enter my old and obsolete iCloud ID. Sometimes is says there is a problem (showing new Apple ID) but then displays my old Apple ID and asks for that password. I have no such problem on my iPad. I also made sure that both the iTunes Store and the Apple ID site have been fully updated. I have gone in and answered security questions, changed my password several times and still the request for the old apple ID info comes up for iCloud on my iMac. With no entry, I cannot check or uncheck the items listed for iCloud, those things are grayed out.