When I place the switch at the position and when its in the off position the LEDs are completely off (obviously). But whats interesting to me is that if I touch the open end near the 1M resistor the LEDS come on. If I touch it with the DMM probe it lights as well. I'm wondering why that is? Its not a huge issue but my reservation is that if the light is assembled and if there is any sort of static it would turn the LEDs slightly on which would drain the battery.
Think of your body or DMM as a 10M resistor, if you touch it you are connecting the circuit somewhere.
S8550 transistor is:
Continuous Collector current (IC) 500mA
Current Gain (hFE), 85 to 300
So if Vcc is 6V current should be something around 80 to 280mA.
Then you won't see a drop in current or brightness until you reach the voltage of the LEDs + the voltage across the transistor.
You should play with it in a simulator and get a feeling for the circuit.