Say, I have a doubt. Can i ask for those parts which get replaced on my car?
Sure, You have that right. Be aware that you must write down that request before your car is touched by the service.
That seems important. I'll make sure to keep it in mind. What can you tell me if i have an issue with the so-called Lemon Law?
Then you can refer to Lemon Law section to see what  you can do about it, to resolve your problem.