A little help if you don't mind...

[PhoenixReborn]

It looks like you're shorting the LED. it looks like the bare wires are touching the copper heatsink.

[Tahm]

The wires were touching, and that's been corrected now, thanks Phoenix.
Unfortunately I'm still getting no sound or lights. My gut is telling me I've got the wrong transistor (But my confidence has been shot with this project, and could be anything). I'm using a NTE 2542 transistor. Here's the info I have on it. (I can't make heads or tails of it)

NTE2542 (PNP)
Silicon Complementary Transistors
Darlington, Motor/Relay Driver
Absolute Maximum Ratings:
Collector Base Voltage, VCBO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120V
Collector Emitter Voltage, VCEO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120V
Emitter Base Voltage, VEBO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6V
Collector Current, IC
Continuous . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25A
Pulse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40A
Continuous Base Current. IB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2A
Collector Power Dissipation (TFL = +25°C), PC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120W
Operating Junction Temperature, TJ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . +150°C
Storage Temperature Range, Tstg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . –55° to +150°C
Electrical Characteristics: (Note 1)
Parameter Symbol Test Conditions Min Typ Max Unit
Collector Cutoff Current ICBO VCB = 120V, IE = 0 – – 10 μA
Emitter Cutoff Current IEBO VEB = 6V, IC = 0 10 – – mA
Collector–Emitter Breakdown Voltage V(BR)CEO IC = 25mA, RBE = ∞ 120 – – V
DC Current Gain hFE VCE = 4V, IC = 12A 2000 – –
Collector–Emitter Saturation Voltage VCE(sat) IC = 12A, IB = 24mA – – 1.8 V
Base–Emitter Saturation Voltage VBE(sat) IC = 12A, IB = 24mA – – 2.5 V
Note 1. For NTE2542, the polarity is reversed.

[Skottsaber]

If the red and black wires going to your recharge port are red for positive and black for negative, you have it wrong.