Your DVD shlould respond to One-for-All DVD code 1348. You will probably have to get that downloaded by calling customer service, doubt if it is standard in the 9960.

Regarding your CD player, is it a standalone player or part of a compact shelf system? Reason I ask is that while I am not famliar with that particular model number, in my experience many of the RCA models that start with "RS" are shelf systems. If it is, when you call One-for-All customer service be sure and tell them that -- there may be additional codes other than those you have already tried which apply specifically to combo systems.