Can my parents see my iphone history at the dealer store?
yes yes they can, i found that out the hard way
They could view your dealership history if you allow them to by giving them your passwords, or any access information. Otherwise I do not think they could view the information.
They can see every phone call you made or received
Have you done something naughty?
Yes. But did you do something bad?
Are your parents paying the bill?
If they're paying the bill, they have total access. I'm sure you have nothing to worry about it though, right?
They can see your call history online, but they cannot see the content of your text messages or IMs unless they get a subpoena (that is, a court order). I have this on authority of a friend who is a salesperson at a phone dealer.