Can people see your attempts to figure out their password on their iTunes library which seems like a stupid question but I'm getting paranoid?

No, people cannot see your attempts to figure out their passWord on their iTunes library. PassWord entry is generally private, and attempts to access someone else's account would not be visible to them. However, if you repeatedly enter incorrect passWords, the account may temporarily lock you out for security reasons. It's always best to keep your passWord attempts secure and to use a passWord manager if you're having trouble remembering passWords.