Noob of the day requesting help

[JediCarpet]

I've spent the last couple days looking over what I could find and I've decided that this might be the setup I want. First, note that I'm not saying to use both green and red, just listing them as options. I'm trying to focus on getting the lighting electronics figured out before I go any further...

Nano Biscotte v2
12mm Anti Vandal Momentary Green Ring Switch
18 ohm / 1/4 W resistor

Rebel Star LED & MHS Heatsink Module (Green)
1000 mw buck puck

Rebel Star LED & MHS Heatsink Module (Red)
700 mw buck puck

Recharge port tbd
Speaker tbd
Panasonic Li-Ion 18650 3.7V 3400mAh PCB Protected Rechargeable Battery


Here's the wiring diagram/calculations I made:
wiring diagram.jpg

A few questions I have if anyone would be able to help me with
1) Am I better off going with the buck pucks or finding resistors to suit my calculations?
2) Are my calculations correct? / Will this all go poof as is?
3) Do I have enough voltage for my chosen setup?