Pin 1 goes to chassis, it goes directly to chassis, it does not have caps and resistors, and going via the internal 0V reference is right out!
See AES48 for the right way to do that.
Look at the massive phase shifts thru the audio band in your simulation, ~30 degrees of differential phase between near DC and 1KHz and it just gets worse from there.
Also, you will only see a few volts peak to peak with this, pro line level is up around at least +18 to +24dBu, so some gain after the DAC is indicated (easily combined with the filters).
Page 25 of the AD1933 has a suitable filter circuit and you just stuff that into a line driver chip, or if you are feeling cheap, go 'impedance balanced' (Which is perfectly valid balanced line for audio) which just involves an extra resistor.... TIs SLOA150A note is possibly interesting if going here.
Regards, Dan.