Electrons inside an LC Circuit
First, there are so many free electrons in metal compared to the number of electrons involved in a given cycle of current that individual electron behavior has a minuscule effect.  It's better to think of "charge" as a continuous amount of stuff, and "current" as a flow.  There are places where this isn't true (dim-light photodiodes come to mind), but this isn't one of them.

Regarding 4, yes, the electrons get pulled into the capacitor's positive plate.  But the lack of electrons pulls in more electrons from further down the wire, etc., and current flows.  The "signal" that starts the current flowing propagates down the wire at roughly the speed of light, so unless your circuit is smaller than about 1/10th of a wavelength at your frequency of interest, you can just assume that the current starts flowing simultaneously, everywhere.

Regarding 5, yes, but you're confusing yourself by trying to count electrons.

Regarding 6, I'm not sure where you're coming from.  In the circuit as you describe it, the current in the coil will reach its maximum value when the voltage on the cap is zero.  This happens when the charges on the plates are balanced.  Because the current is moving in the coil it has built up a magnetic field, and that energy gets returned to the capacitor in the form of a voltage.