Hiya!
Thats weird! I have just been out and checked all your suggestions and now the time is correct but the date is now 02-01-2000!
RDS enabled and it is an NCDC 2013 and radio works without ignition on.
Yes, do your date has correctly moved on by the two days that have elapsed since your first post.
As others have said, tuning in to Radio 2 normally makes all go to the correct time, but date is something else. I would see if you can manually adjust just that which, from memory, you can do under settings. Sorry I cannot be more helpful!
PS I have now found the PDF version of the manual, and in particular Page 38 that describes how to reset time and datr:
http://images.omegaowners.com/documents/UserGuides/OmegaOct2002.pdfPlease note that if manually setting the radio must be turned off.
If that does not do it, then as others have said something else is wrong.