Since the Atlas takes 4 digit setup codes, you need to drop the leading 1, which simply implies TV for those Atlases which use 5 digits.
So the setup codes to test are 1088, 0672, 1706, 1207.
A JP1.3 cable would make things pretty easy, because you would be able to download the learned signals into the computer, and the software will tell us exactly the IR protocol, device numbers, and function numbers which were learned. Then it is pretty easy to know or guess any remaining unlearned functions, even ones which aren't in the original Daytek remote. And if the Daytek uses a IR protocol that isn't built in to the Atlas, you'll be able to upload the necessary protocol.
With a cable, you will absolutely be able to get everything working.
Cables aren't available at retail stores. I recommend the
one made by Tommy Tyler.