This is a very simple and quick quest to do. It is recommended you do this quest just before doing the first quest for Dan Hagar, Quell the Bandit Threat
After talking to Dan Hagar and getting the supplies from the table, go outside the room and locate Loosum Hagar on top of a platform:
Learning to throw a Wingstick may save your life, and I'm the best
teacher around.
It's pretty simple, just throw the Wingstick at
your target and the Nano-core will do the rest. If the Wingstick
survives impact, it'll fly back to where you tossed it, so don't
move around too much.
Prove you can handle 'em, and I'll tell
Halek you're safe.
Watch for the popup targets. Press Q (on PC) to throw the Wingstick at the popup targets. Hitting a bottom target gives you 2 points, and the top target is worth 3 points. collect 10 points to prove you are ready for Wingsticks!
This is very easy. Just aim the crosshairs at the target and press the button. You have to hit 10 targets within a limited time, but most likely you will manage to hit many more, at least 20.
Once time runs out and you succeeded, Loosum will give you 5 wingsticks and tell you that you can talk to Halek to buy more equipment.
Halek Hagar will be in the Shop downstairs. Find him and buy some supplies You wont be able to afford much at this stage, perhaps buy some bandages. When you are done, you should start working on Dan's quest, Quell the Bandit Threat