Should I buy a new cd player or DAC or both or neither?

Here is my system. I have a Atoll integrated amplifier, 100 wpc, a Vecteur L 4.2 cd player, Totem Hawk speakers, A Cambridge Audio CXN streamer, Nordost Red Dawn speaker cables and Tara Labs interconnects ( not sure of the model but they were $500 Cdn when new).
I am happy with the sound but wonder if I could get better sound (more detailed and dynamic but still warm and easy to listen to), with either a new cd player or DAC or both. My Vector CD  player was really well reviewed by "Enjoy the Music" when it was new but it is 15 years old now. It's built like a tank so it must have a big power supply.  I did have my cd player hooked to an expensive Audiomat Tempo 2.5 DAC but didn't hear an appreciable difference in sound. . I know however the DAC was excellent as the guy I sold it to said it transformed his CD player and it was the best DAC he had ever heard. My Vecteur and Audiomat CD player were supposed to be a good match.

Could it be that my Vecteur CD player is that good?

My local dealer swears he can transform my system with a Atoll DAC which is only $800 Cdn. I also wonder about getting a Marantz CD6006 or a Cyrus CD t (both well reviewed by "What Hi Fi'" or a Cambridge Audio CD as they are available locally. I would consider Oppo too although I would have to order online and could't audition.
I was thinking of potentially spending between 1-2K on a CD player and the same amount on a DAC. Wondering if CD players have improved that much in 15 years? So what should I do? I would welcome any advice or hear from those that have experience with these components.