What analogue out of a mixer? A digital mixer has a digital input, a digital output and processes in the digital domain, there is no analogue out. 0dBFS = 0VU (+4dBU) occurs when there is an analogue output, the output of the DAC for example. 0VU represents the optimal level for an analogue signal, IE. A level above that will likely incur analogue distortion. This is not the case with digital, there is no distortion until 0dBFS, at which point there is total distortion.
Firstly, a digital compressor does not take a input of 8dBu (which is a measurement of an analogue signal), it obviously takes a digital input. Even using your figures and considering an analogue compressor, if the input is 8dBu and the output is 2dBu, why do we need any headroom, the output signal is 6dBu lower than the input signal, it is not higher. Likewise with the 16dBu input signal where the output is 12dBu lower.
Yes but in every case, the output of a compressor or limiter is lower than the output, so you don't need any headroom. This is also true of a digital compressor.
Of course you can, that's what the input gain/trim is for.
A bass boost or any other DSP effect that adds to the amplitude of the signal will only clip the signal if you add so much that the output hits 0dBFS and obviously you can avoid that by reducing the input signal where/if necessary. But this is in the digital domain, what's this got to do with a calibration to an analogue line level of 0VU?
0dBFS does because that's digital clipping but anything below that does not.
G