Let me see if I can explain- every line on the sketch is a wire. You need to provide enough wires to make all the
connections. You probably want to either purchase some multi-conductor cable or a roll of stranded wire (14 gauge, say) and cut pieces to reach
between the switch and motor. You could also cannibalize an extension cord for wire. You could then make little labels with masking tape and a sharpie pen to identify the individual wires on each end, in case there are several all the same color. (color doesn't matter, only the connections)
Is that making sense?
Also, in case you weren't sure- the motor red and black wires need to be disconnected from the terminals 2 and 4 and extended (spliced) to reach the switch. You could solder or use slip-on terminals or crimp splices or wire nuts to extend the red and black- your choice. Same with
the power cord white wire- may need to splice and extend it to reach L2
I've done this for so long I sometimes forget there are a great many people out there that aren't very familiar with electrical stuff.
That's OK- I don't know much about astrophysics or chemistry or a million other things