Just got back from getting the car inspected. It failed safety because the rear brakes are running thin, but passed emissions. If I get right on the brakes (my dad and I can just do it at home), then I can take it back in and get re-inspected for free. The suspension is totally perfect - no tie rod or strut problems.
They did find some other issues important to note though. The brake lines to the rear brakes are incredibly rusty. There's no way we can fix those at home so those will cost a couple hundred to replace. One of the engine mounts also should get replaced, and that might be what I was feeling through the brake pedal since it is allowing some movement. Not sure what engine mounts run for though. The ones in the Buick might be filled with hydraulic fluid for a smoother ride, so that might make it more costly.
I've never lived in a state with inspections so I couldn't say. Do you live in a state where it snows, XR7? Coil could've rusted in half.
My uncle lives in central Illinois and bought the car in January 2014. Not sure where it came from before that, but wouldn't be surprised if it came from up north. The undercarriage, the region around the gas cap, and the corner of one of the doors has rust probably caused by road salt, and we have a heck of a lot of that in the winters.