Nice tune and I do get the effect with the vocal. I'm not sure where the "piano is too wet" is coming from. I'm not saying it isn't the case, but what verb plug did you use?
I'm another who likes reverb, too, but as I improved using it, it's subtle. If anything had definite verb it was the vocal, but given the effect you were going for, although, I would have liked some more dry and a little less wet there.
Total agreement with the bass. Was this part played or written in? Either way, it does need to come up. Same with the drums. The kick was non-existent. I do realize the genre, but say for instance in "Brush Jazz" (I made that up), the kick is audible, despite how softly the drummer is playing.
So, the most obvious thing to me is volume.
I would also recommended doing A/B comparisons for the Wet/Dry knobs.
Other than that, I do enjoy the song with its mood and character. Odd how this is called "Wake Me Up, Please", but it's goal is seemingly to put one to sleep (I do mean this in the nicest way possible).
Reminds me of Mary Poppins who sang, "Stay Awake" and guess what the children did? (What irony!)
Lots of songs benefit from contradicting themselves. It's a very popular technique.