Does this come with fasteners to attach the bracket to my bumper?

Hardware is not included with this bracket. You'll need to source fasteners that match your bumper's factory mounting points — standard hardware store bolts work fine once you verify hole size and depth.

Will I need to drill into my bumper to install this?

No. The bracket is designed to use existing factory mounting holes on the Telluride bumper, so drilling is not required.

Can I paint this bracket a different color if I want it to match my bumper trim?

Yes. The black finish can be prepped and painted with standard automotive paint. Sand lightly, prime, and paint to your preferred finish.