You can see the coordinates right above the X-Lord skin to the right. They read D2, D3, E2, and E3, these correspond to a specific place on the map.

This is south of The Block and just west of the umbrella mining area.

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Week 2: Shootout at Sundown
Complete three of the Shootout at Sundown challenges and you'll received the following loading screen.

This loading screen shows off two skins, Bone Wasp and Facet. There's a fork and knife etched into the walls on the top left side of the image. You can find the star right in-between these near Fatal Fields.

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Week 3: The Leftovers
It's pretty hard to see, but if you look very closely at the battle bus you will see the logo for the SoFDeez Ice Cream Parlor. This is where you will find the battle star!

The location is west of the big race track and north of Paradise Palms.

It's inside the shop, right next to the soda fountain machine.


Week 4: Junk Storm
It looks like Week 4 has a star to collect, you can find the coordinates on the loading screen on the bottom right.

The leaked Star Walker skin is shown in this loading screen, and the exact location of the star can be found east of Sunny Steps at the I2, I3, J2, J3 coordinates on the map.

Week 5: Dripping fro.