1.
It's hard to deduce what happens when a button is pressed, whether it (a) connects a device to the power supply, or (b) connects a device to ground.
Reading the voltmeter gets you raw info. You may have to compare your readings with those of a working intercom. Example, when a visitor presses the button, it conceivably might pull a wire low, to activate the buzzer in your apartment.
2.
I have noticed door unlocking mechanisms usually buzz when activated. (Not that I have not worked on any). I would not be surprised if they have AC going through them. Or rectified unfiltered DC.
3.
Condos and apartments commonly have similar intercom systems to yours. An internet search may turn up typical schematics for wiring them.
There may be some ingenious method to do all functions with a minimum number of wires. (Example, using the same wire for two different purposes at different times, depending on which button is pressed.)
4.
You need to find out whether the 11 VDC is smooth DC, which will make it suitable to power an audio amplifier.
Also you need to figure out how to construct the amp so you can hear the visitor, and he can hear you, simultaneously.
- - - Updated - - -
I guess I forgot... The intercom does not necessarily permit both parties to hear each other simultaneously.
The three buttons I have seen are labelled Listen, Talk, and Door-Unlock.