How should the low frequency schematic of this amplifier look like?
Don't confuse the linearized model (the first one) with an actual application schematic (the other one).
The linearized model is for one BJT, and aids in studying what happens under some conditions. The other schematic is actually an application build with three BJTs (each one can be modeled by the first schematic). In fact it's a simple amplifier with a current mirror to load the collector (it has some properties that make it better than a collector resistor).
As for Cc I don't get what you mean. Cc AC couples the output signal and with Rl forms an high pass filter, was that you wanted to know?