In general, you can say things are worn out.
What do you expect? I've been using them for the past two years. They're worn out!
For many objects, there are alternative words, but they're less general:
For your car example, I'd say dilapidated. This word works best for larger, more complex objects. A house or car can be dilapidated, but the phrases ?dilapidated keys and ?dilapidated headphones sound weird to me. You can also say a car is broken down, but only if it doesn't actually move.
For keys, I agree that rusty works, but only if they're actually rusty. If they're worn down, I'd say they're worn.
Sometimes you don't need a special word. I might complain about my broken old headphones. You could also say they're in a state of disrepair, but it doesn't sound very conversational to me.
? This symbol means "This phrase is of dubious acceptability. I suggest you avoid this phrase."
I believe you're talking about the trunk (American English). The back part where you put stuff in such as luggage.
Just a quick tip for next time, if you go on Google and select "images" and then write "Car parts names in English" you will see a bunch of car parts with names from ESL websites.
Best Answer
You could probably use hitch:
This is a derivative of hitchhike/hitchhiker, though this refers to purposefully trying to get a ride with a stranger, for example if you don't have a car or money but need to get somewhere.