I build intercom stations for a living, and I've some experience with them (I've built my first one in 1983).
I ask the permission for some suggestion, in this maybe too long post..
first: ejeffrey is correct: C8, C9, C10 and C11 are in parallel with the feedback resistors of the input op-amps.
They should have a value in the range of 100 pF, not 100 nF.
second: I'll suggest 4 polarized caps (About 10 uF) at the outputs of U2.1 A-B-C-D.
This will prevent DC flowing on the pots, resulting in noise when the pots are rotated.
C13 should be a polarized cap in the same range (10 uF). The positive pin of the caps must look to U3.
Leave the pots wired to ground, not V/2, because V/2 is not a "zero impedance ground", and this will cause crosstalk and interaction of the 4 pots.
To reduce noise when rotating the master gain pot, a capacitor (100 to 330 nF) should be wired is series with VR5 wiper, connecting to LM384 pin 2, and this pin should be grounded via a 10 - 100 k resistor (this is not shown in the application sheet of the IC, but is a good practice).
Blackdog's modified schematic can work, but the passive mixing of the four signal will result in interaction of the controls (changing one channel's gain will change all the others).
Another effect is a reduction of total gain, due to the loading of the pots by the summing resistors.
Another op-amp will work better, and will allow for total gain adjustment by changing it's feedback resistor.
If the power is supplied by a ClearCom power supply (30V DC), you do not need a voltage regulator (but it will do no harm): a simple RC filter (10 ohms + 47uF) at the DC input will suffice (the series resistor will act as a fuse in case of failure, putting your station "out-of-service" and allowing normal operation of the rest of the system). Your circuit has no such protection (even a small fuse will work).
In my experience, the LM384N power amplifier will work at 24 or even at 30 Vdc, but it's a good idea to put a 10 to 22 ohm, 2W resistor from power supply to pin 14, and a 100 uF cap in parallel with C16 (see any ClearCom schematic). This will limit output power, power dissipation and current drawn from the intercom line.
C18 value can be reduced to 100 - 220 uF. This will limit LF response and power dissipation in the LM384.
Take good care of the PCB: all ground pins of LM384 must be soldered to a small ground plane, to help heath dissipation. If you want to build on perfo-board, glue a small heatsink to the IC.
I believe that, instead of one quad and one single op-amp, 3 dual (TL072 or even better NE5532) will allow for a simpler layout. The spare op-amp can be used for buffering the virtual ground (connect it's non-inverting input to the junction of R14 and R15, wire for unity gain by shorting the inverting input with the output and connect V/2 to the output).
The Virtual ground reference (R14, R15, C15 and maybe the buffering op-amp) will work, but it is a good idea to wire a diode in parallel to R15 (cathode facing positive supply): this will help to discharge C15 at power-off (some op-amps are damaged in this circumstance).
The LM384 is a better choice than the TDA2040 because it's current drain is only 8-9 mA , compared to the 100 mA of the latter, and because very few external components are required.
The "call signal" on audio line is derived by injecting a DC current on the line, which has an impedance of 5 kohms at DC and 220 ohms for audio frequencies. The resulting voltage is usually no more than 5 V DC, and it gives an audible "thump", but it cannot damage any component, not even the speaker.
Usually the users wear headsets, and they are not annoyed by this.
It's one of the few possible solutions for ClearCom compatible, "party line" intercoms, where the stations are connected using a standard microphone cable (2 conductors + screen) with XLR 3 pin connectors (male + female).
The screen (pin 1) is ground, the conductors carry DC power for the stations (pin 2) and audio line (pin 3).
The simplest path for sending a call signal is DC over the audio line (there no no free wires).
Some systems use ultrasonic signals to transmit other signals or commands , and other interrupt the DC power for a very short time to switch off all stations' microphones.
It is old analog technology, but it works, day after day, show after show...
Good work , indeed
Regards