What mechanical checks matter most on a 2018 SUV with 60k miles?

[Zachary_D]

I'm planning to buy my first used car from a private seller next weekend, a 2018 compact SUV with about 60,000 miles. I've done my research on the model's reliability, but I'm nervous about missing something crucial during the test drive and inspection. I'm putting together a car buying checklist to bring with me, but I need to know what specific mechanical checks are most important for this age and mileage beyond just listening for odd noises and checking the service history. Should I insist on getting a pre-purchase inspection from a mechanic for a car this new?