First, two, builds and need help with the wiring

[DarkRedMage]

Long story short, I'm working on two builds one for me and one for my girlfriend.

We're going to be using one Li-Ion battery each (3.7v 2600mAh) with an X-2 LED and I'm not 100% sure how I should be wiring everything.

I've attached a diagram of what I think the wiring should look like as well as a quick mock-up of the LED itself.

Much thanks in advance!