when I said plug something in, you have a switched jack at your input, controlling the circuit power supply. if no jack is plugged, now power flows, Jack is a dull boy. so plug in and power on - BUT - we only really want static DC voltages around the transistor (so we can guess at which resistors are the wrong values), so we don't put any signal input when DC measuring.
the cap across the pot to wiper does not change/affect the taper or value of the pot. the pot actually controls the cap, it varies how much of the emitter resistor (in this case the pot itself [from memory]) is bypassed to ground for AC signal by that cap. this means that the AC gain of the circuit changes, but the DC voltages stay as you've set them.
and if your LED CLR resistor really is 220R, it might explain why your battery is fading so much. bump it up, use 4k7 or more, the higher value saves more battery for longer rocking out.