To clear things up and make it simple, here is how to program the RCA Systemlink 3 remote:
Test remote on device, if ALL functions do not work, repeat above procedure.
Count how many times you press the On/Off button. If ALL funtions do not work and you need to repeat, you don't want to stop at the same non-working code. For instance, if it takes 23 times to turn your device off and after testing, the remote does not control all functions, repeat steps 1-3 BUT when the device turns off at the 23rd time, turn it back on using the power button ON THE ACTUAL DEVICE then continue with step 3 and 4 from above.
Thanks for the hints on your web site. For the RCA SystemLink 3 with the key pad, I could not get the sequences described to work. But they did point me in a direction which worked for my remote: