Q1
Wire 5 and wire 6 have a physical presence so there will be capacitance between them.
If the electrical connections to the right hand side of wires 5 and 6 have exactly the same characteristics, then the voltage across C_n will be zero, and that capacitance will have no effect on operation.
If wires 5 and 6 have different electrical loads at their right hand sides, then as the voltage from wire 2 varies, then the voltages on wires 5 and 6 will be different, and so C_n becomes significant.
Q2
The double capacitor with the centre tap connected to ground is just an easy way of drawing two separate capacitors,
(one capacitor from wire 5 to ground, the other from wire 6 to ground), in a limited space on the screen/paper.
JimB