As fopr the wearing of shoes. In Illinois it is required by law. This one I know.
As for asking to see the radar gun, yes the officer has to let you see it. By law you are allowed to confront your accuser, that would be the radar gun. If he says that he reset it tell him to not waste his time writing the ticket. Also make sure that the officer is in the courtroom, otherwise plead not guilty. If they want to reschedule it so the officer can be scheduled in object, you have the right to a speedy trial.
I got this one from a friend in the oil change business. The 3000 mile thing is bogus. Also do not fall for the oil upgrades other than maybe synthetic only if you drive a BMW or Mercedes (More on the Mercedes in a second.) as these vehicles require synthetic but go 12-15K miles on changes. BTW if it lasts 12-15K in a Mercedes it will last 12-15K in your Ford, Chevy, Honda etc...
As for the Mercedes. Do not be tricked into being required to go to the dealership and pay $200-$300 for a change. Most Valvoline places can do it for around $50 as long as they know you are coming in and have the filter. (They don't usually stock these filters.)